{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "\n",
    "def average_every_r_elements(lst):\n",
    "    averages = []\n",
    "    delta=25\n",
    "    for i in range(0, len(lst), delta):\n",
    "        subset = lst[i:i+delta]\n",
    "        averages.append(sum(subset) / len(subset) if subset else 0)\n",
    "    return averages\n",
    "\n",
    "def parse_llama_data(filepath):\n",
    "    pattern = re.compile(r'\"lm_loss\": (\\d+\\.\\d+E[\\+\\-]\\d+)', re.IGNORECASE)\n",
    "    lm_loss_values = []\n",
    "\n",
    "    with open(filepath, 'r') as file:\n",
    "        for line in file:\n",
    "            \n",
    "            matches = pattern.findall(line)\n",
    "            lm_loss_values.extend(matches)\n",
    "\n",
    "    return [float(value) for value in lm_loss_values]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For data confidentiality reasons, we only provide the training logs of the LLaMA-2-7B model here.\n",
    "\n",
    "The training logs of the GPT-2 and BERT models will be made public after being sanitized in the near future. \n",
    "\n",
    "Note that the parsing process of the GPT-2 and BERT model training logs and the plotting of the Fig.9 is the same as that used for LLaMA-2-7B model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Parse loss logs of LLaMA-2-7B model\n",
    "llama_181 =average_every_r_elements(parse_llama_data('./loss_measurement/llama7b_181.txt'))\n",
    "llama_241 = average_every_r_elements(parse_llama_data('./loss_measurement/llama7b_241.txt'))\n",
    "llama_421 = average_every_r_elements(parse_llama_data('./loss_measurement/llama7b_421.txt'))\n",
    "llama_811 = average_every_r_elements(parse_llama_data('./loss_measurement/llama7b_811.txt'))\n",
    "seed=average_every_r_elements(parse_llama_data('./loss_measurement/llama7b_181_seed.txt'))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ehkpRGldYv359o81tlfDNncMA39A4y2HRokW8+eab7Lhjvuer1g3P9t5770Dn2s3aymHRokVFfa+1bjRXbOz13LNBE+AfAT6Cyt/8NXCv9e8U4EQp5X+Ga4AjhYbGWT18c2c22JEqQbF1V6+GZ8OBejWaG40aJ1LKu4C7hBC7ooiMO6WUS4dtZCMM27xooHL45q7h46wIpdZdPRqeDRfq0Wiunnu24rwGKeXIOYHqiP7+/pEewpiFd+7ckssRGswYQ6l1d9JJJ3HLLbewcuVKX1ml3fDMC/vv733ve75qpZFs1lZo7FdddRW77rorN954I7/73e+IxWLsscce3H///Rx7rJ9XqNzY67lnhQyYXyeEaAPeC8xBUcl5IaWUl9R4bDXH/vvvL3PrZIshkUjkRQ4bCAbv3G26/Ef0/v3vzLr6KuKLFo3wyEY/Sq070zTZeeedOe2007jggguquv7uu+/OiSeeyCWX1He71mPsQfesEOJZKWV5x20pBCkvQjG/dwNmkZcx1BKmerwqKbl8/fXXA5/bgB/eudt46aVy6SGHyoGnnx7BEY0dlFt3t956q5w6dWpVXVj/9re/yUmTJsmtW7dWObqhYbjHHnTPUoOSy6Cm+tXASlR/oZellOkhSesxAG9eWgOVwTt30rJoGj7OYCi37hrN2tqLnlPPPRtUcO4GfExK+exwDmY0odHlsnr45s6pHGo4OYOg3Lobyw3Phnvs9dyzQUsuVwNDz7wdQ9i4ceNID2HMwjd3tg+9kccZCI11Vz3qOXdBBef3gfOsANF2galTp470EMYsfHPXSEeqCI11Vz3qOXdBTfX3A9OAFUKIJ1GBIi+klHJcUcv19/c3yIyrhHfuRkXJ5RhCY91Vj3rOXVDBeQhq6fcCexR4f9xti8HBwZEewpiFb+4aJZcVobHuqkc95y6Q4JRSzh/ugYw2NPg4q4dv7hollxWhse6qx2jk49zu0ODjrB7euZMNH2dFaKy76lHPuQssOIUQzUKILwsh7hBCPCyE2Nk6/nEhxMLhG+LIIB6Pj/QQxix8c7edllxW2+Vyt912q6pTpI2enh6mT5+OEIIHH3zQ995o63JpGAY/+clPOPLII5k2bRqtra287W1v4ze/+U1e24wgY6/nng1kqgshdgD+A8wGlgB7Aq3W2+8CjkZRzI0btLS0jPQQxix8c+dsgO1Lclbb5bK/vx/DMCrqFOnFt771LV/3SS9GW5fLRCLBD37wAz71qU/xla98hZaWFu677z4+//nPs2TJEq644oqKxl7XPRukvAhFYPwaqk49hCqzfJv13ieApUMtYarHq1FyWR94527dN78llx5yqOx94IERHNHII2iXS3vuKukUaePxxx+X8Xhc/uY3v5GAfKDAnI+mLpfZbFZ2dXXlffdpp50mo9GoHBwcrGjs9Sy5DGqqHwN8T0q5mnzVwSY1HleYPn36SA9hzMI7dw0fZ2Ww566STpEAmUyGM844w9HMimE0dbnUdb1g+tABBxxAKpWis7OzorHXc88GFZwRoHCXe5gAZGoznNGDnp6ekR7CmIVv7hollxXBO3eVdLn88Y9/TDqdLlvSONq6XBbCI488Qnt7OzNmzPAdLzf2eu7ZoILzJeDEIu+9Bxh3NewNIuPq4Zs7JwF+5DTOI28/kjMecBuOvbzlZY68/Uh+/tzPnWO3LbmNI28/kodWP+Qc+87j3+HI24P5AmsBwzDo7++vuFPkm2++yQ9+8AOuu+66sj2JRluXy1zcf//93H777Xz961/PE7Llxj4aiYyvAO6wnMF2uGx3IcQJwGeB44dhbCOKRj5d9fD1VbcFpmxonOVQbafIL3zhC5xwwgkcc0yw1l+jqculF6+99honn3wyRxxxBN/61rcqHns992zQBPg7hRBfBC4H7DDZLSjz/Wwp5T+HaXwjhlWrVrFw4bjLsqoLfHPncHyMnOB86GMP+f7ea8peecdOXngyJy882Xfsh4f8cNjH5sXixYtZs2YN++23X+BOkbfffjtPPPEEzzzzjGOq2kzoAwMDbNu2La8z5WjpcunFW2+9xTHHHMP8+fP529/+VtSkLzX2eu7ZoOlIE4DfAb8HDkI1besC/iulLOb7HNNopCNVD9/cNdiRAmPRokXMmjWL2bNn571XrFPka6+9RiKRYI898iuhP/jBDzJhwoQ8399o6XJpY+3atRx11FG0tbXxz3/+s2SnylJjr+eeLSs4hRAhlJD8kJTyHuDBMh8ZF2gQGVcP39w1Si4rQrF1V6xT5KmnnprXg+eFF17gnHPO4Sc/+QnveMc7fO/ZnSJzexQNJ0p16NyyZQtHH300AA888EBJc77c2EcVkbGUMiuE2AQYdRjPqEFnZ2ejRXCV8M6dm47U8HEGQal1V6hT5Lx583zNz7zYZ599OOSQQ3zHRlOXy0QiwXHHHcfKlSv57W9/y9q1a1m7dq3z/u677+7TPsuNvZ57NmhU/VbGWWVQOcycOXOkhzBm4Zs7p+SyITiDoNS6O+mkk3jllVdYuXJl1dcfyS6XuWPftGkTzz//PKlUilNOOYWDDjrI93ruuecqGntd92yQLHngC8Aa4GngAlQk/TPe11Az8evxqqRyaPny5YHPbcAP79ytPuNMufSQQ+XWO/4ygiMaOyi17gzDkAsWLJCXXHJJ1dffbbfd5AUXXFD156tFPcYedM9Sx8qh61DVQYuAi4EbgBs9rxtqJ8pHB9Lpcd+Pbtjgm7tGcKgilFp3mqZx8cUXc80111TFPXnXXXexadMmzj333KEMsSrUY+z13LNB8zhrxsdpEYZchSrjFKhg01elKucs9bm5wM+BfVFR/QHgFeBHUsp/1Gp8Nhp5nNWjUB5no+QyGMqtu0aXy/ai54zGPM6aEN0JIeLAQ0AK+DQqy+8HwMNCiL2llAMlPt4CdKJcBWuBNlS74vuEECdKKe+sxRhtNPI4q4dv7hollxWh3LprdLksjlGXx2lDCLE3cBgwGfi1lHKjEGInYJMMls/5eWABsKuU8k3rmi8By4AzgCuLfVBK+SrKt+odz9+BFcBpQE0FZ6lcsgZKwzd3o6Dkciyhse6qRz3nLpCPUwgRFUL8GXgeZS5/F7BDWD8GvhPw+44HFttCE0BKuQJ4Ajgh6KA9n80C2xgGkpEgZAQNFIZ37hxTvRFVD4TGuqse9Zy7oMGhH6LIiv8P1e3Sy5T6DyCf56ow9kD5JXPxKhDI6SGE0IQQISHEdCHEhcAuqOBVTdHdndvIs4Gg8M2dLS8bpnogNNZd9ajn3AUV0ScDF0gp/yiE0HPeWwHMC3idSUChuqtuYGLAa/wYsENr/cDHpZT/LnayEOJ04HSA2bNns2TJEmbOnElnZyfpdJq5c+eyatUq2traCIVCdHd3M2vWLAzDYOnSpcyePZvVq1c7Tumenh7mzJnD2rVr0TSNadOmsW7dOiZNmkQ2m6W3t9e5ZiQSoaOjg/Xr19PR0UEymaS/v995PxaL0d7ezsaNG5k6dSr9/f0MDg4678fjcVpaWti8eTPTp0+np6eHZDLpvN/S0kIsFqOzszPQPW3atAnTNIf9nlpbW1myZAlTp04lmRjEzGbJpFIsWbJkzN5TvX6n9vZ23nzzzXF1T/X6nezrlbunmiBIzhKQBI60/q/jZ4A/FhgMeJ00cFmB4z8EsgGvMRvYH9Xr/XZrbO8P8tlK8jiXLVsW+NwG/PDO3cpP/p9cesihsuumm0ZwRGMHjXVXPYLOHXXM41yBIvcohLcDbwS8zlaU1pmLiRTWRPMgpVwrpXxGSnmvlPJjwGLgJwG/PzBym0U1EBzeudteSy6rbda28847V9Ws7eabb2bRokW0tbUxZcoUjjnmGB577DHfOaOtWRuoXkWnnnoqe+65J6FQqGj5aJCx13PPBjXVbwG+LYRYiRu9lkKIdwHnABcFvM6rKD9nLnZH9TSqBs8AX63ys0VRiKGmgWDwzd12WnJZbbO2TCbD4OBgRc3arr/+es444wzOPPNMLr/8cgYHB7nyyis55phjePLJJ9lvv/2A0desDeDf//43jz32GPvvvz9CCPr6CifnBBl7XfdsELUUZZ7/CWWiJ6x/B1DEH38Iqt6iBFwWWOA5Ng8VFT+3UnUZFdxaDLwR5PxGs7b6wDt3K076uFx6yKGy88bfjOCIRh7D2aztoIMOkgcddJDvWG9vrwyHw/K8887zHR9NzdqkVKWYNk455RQ5d+7comMac83apJSGlPLjwOHAT1Fllj9H+T1PqUBO3wCsBO4SQpwghDgeuAtVB/9r+yQhxFwhRFYI8V3PsYuEED8XQpwkhDhcCHES8E+Uq+B7FYwhEEaqumI8wDd3jZLLimDPXSXN2tLpdF4OYzweJxwO55mvo6lZG6hSzKAoN/Z67tmioxZCPCeE2MP6/3eFEDOllI9JKS+QUp4upTxfSvlIJV8mVWXQkcBSFCnyH1D+0yOllP3er0dpud7xPYfq534N8C9UdD0JHCql/FMl42igfpCW4NzefJy1QNCGZ1/84hd58MEH+c1vfkNPTw/r1q3j7LPPJhwO89nP+mpGxkSztmIY6thriVLifi9UmSMoja4mDgQp5Wop5YlSyjYpZauU8oNSypU556yUUgop5UWeY3dLKY+UUk6VUkallHOllMdLKZ+oxbhy0ehyWT38XS4bRMZBYRgGnZ2dFTc8+8xnPsP111/PWWedxcSJE5k9ezZ/+9vfeOCBB9hll1185472Zm2lUG7s9dyzpcT/euCDFomxAKYLIeYUO1mWIekYa5gzp+itNlAGvrlrlFwGRrUNz+666y7OOusszjjjDI4//ngSiQQ/+9nPeO9738vDDz/Mnnvu6Tt/tDZrC4JSY6/nni0lOH+NIuD4Jqr+469lrpWbGD+msXbt2ryn9XiEzGTYeOmlTP7s54jMnlWTa3rnzjHVt7OoejVYvHgxa9euZd999w3c8ExKyemnn85HPvIRfvaznznHjz32WBYuXMiFF17IX//q37qjsVlbUJQaez33bFHBKaW8VAjxACpV6HfAZUB+05Bxikqc1mMZmU2b6H/w3zQfcEDNBKdv7myB2fBxlsWiRYuYPHkyO+64Y957xRqebdq0ic2bNztBGxuRSIR99tmH119/Pe9ao61ZWyUoNfZ67tmigtNiQnpZSvm0EOJU4PdSyiV1G9kIY9q0aSM9hPrAUK2kaqkR+uau4eOsCMXWXbGGZxMnTiQajeb180mn07zwwgssWLDAd3y0NWurBOXGXs89W8pUfx5VLfQUMBcYup49hrBu3brtgo9TWoKzloLNN3cOO1JDcAZBqXVXqOFZNBrl85//PNdeey2TJk3i/e9/P4lEgmuvvZaVK1dy9dVX+84fTc3aQHW5fOQRlZyzevVqBgcHueOOOwDVrM1LeFxu7PXcs6V02wRge4DnsZ0JzkmTClWGjkPYGqdRuyam3rmT22nlULUote6KNWu76qqruOaaa3j00Uc58cQT+dznPkcmk+H+++/nhBP8bI2jqVkbwKuvvspHP/pRPvrRj/LYY4+xZcsW5+/bb7/dd265sdd1zxbLjEdV5DyNKqc0getRPJyFXhcONRO/Hq9KKofWrVsX+NyxjMSSJTVvpuaduzff81659JBD5aYrr6rZ9cczSq27RrO20mMPumcZ5sqhrwLNqFYVEtUe+KISr3GF3t7ekR5CXSCzWes/tTOlfXPnBIcapnoQlFp3jWZtpcdezz1bKqq+GNhdCKGh6svfifJ3bhfYbpq1WQJNGrUTbL65a+RxVoRGs7bCGHPN2qSUphDiNGCplLJ2jrBRju2mWZsTHKrdT+udOznCJZdbfv5zUsuK11UHQXTnnZjy5S/XaESl0WjWVhhjslmblPLm4R7IaEMkEhnpIdQFdlColu17fXPXSEeqCNvLuhsO1HPuSuVxPgR8UUq5xPp/KUgp5VG1HdrIoqOjY6SHUBe46Ui10wh9czfCpnq9NMVaYXtZd8OBes5dqeCQtyGbZv1d7DXuymyC1vKOeTgaYe1Mde/cSRoll1/60pf4wAc+EOjceq07m7ndRiKRYMaMGfz5z3+uy/cPB+q5Z0sFh97l+f8RdRnNKML28uR3TPUaBof8Guf2XXK5fPlyfv3rX/Pf//430Pkjte6ampr45je/yfnnn88HP/hBX635WMFo0Ti3a9jEBOMetqleQ1PaN3fbuY/z6quvZp999glU7w0ju+5OPfVU1qxZk0cKMlZQz7krRWR8WCWvuo24Tujv7y9/0jjAcGic9txJKZ08zu2x5DKVSnHrrbfyiU98wjnW39/Pl770JebMmUM0GmXatGkcffTRLFmyxHk/m81y2WWXsXDhQqLRKDNnzuTcc8/NEwyDg4N861vfYv78+U49+A9/+MM81vfnn3+eQw89lFgsxqxZs7jkkksKuk4mTpzIcccdx4033jgMszH8qOeeLRVV/w9gz67w/L8YxhWt3PaWx1lLH6czd97NuR36OBcvXkxPT4+P9Pecc87h7rvv5tJLL2XnnXemq6uLJ554wiHhnTt3Lp/85Ce55557+Na3vsXBBx/M66+/zoUXXsjKlSv5y1/+AkA2m+W4447jtdde48ILL2SvvfZi8eLFXHLJJXR3d/PTn/4UgM7OTo488kimT5/OzTffTDQa5YorrmD16sL0uYcddhjf+c53SCaTPo7NsYC67tliJUWo/kL26wRgNXAf8CngOOvff1jHPzDUEqZ6vBrN2vKx7f775dJDDpWbr7uuZte0587MZOTSQw6VSw85VK7/7vdqdv2xgssvv1wKIWQqlXKO7bHHHvKcc84p+pnf//73EpA333yz7/itt94qAfn8889LKaW85ZZbJCAfeeQR33k/+MEPZDgclps2bZJSSvntb39bhsNhuWrVKuec/v5+OXnyZKm2vx8PPvigBOQTTzxR8f2ONEZFszYp5SP2C/gQ8C8p5XullLdIKe+3/n0P8ADw4WGR6iOIsfa0rRq2j7OGprozd14tczv0ca5fv562tjZffuEBBxzATTfdxKWXXsozzzyDkUOu8uSTTxKJRDjxxBPJZrPO69hjjwXg0UcfBVQPn7lz53LwwQfnnZfJZJz2Ek8++SQHHnigjx29ubm5aJTfZmkfi1kl9dyzQYNDJwD/r8h7/896f1xhe+lyafs2ZQ1NdWfuPIJze/RxJpPJPNbza665hjPOOIPf/va3HHDAAUydOpVzzjnHqd/u7+8nnU7T0tJCOBx2XlOnTgWgq6sLgM2bN7Nq1SrfOeFwmLe//e2+8zZs2FCQp7IYd6XdEiMoQ/xoQj33bNCWcxqwE0q7zMXOjDP/JsDGjRu3D+Fp1j4B3p476dM4tz8f5+TJk/NYz1taWrjsssu47LLLWLVqFXfccQfnnXcekUiEH/3oR0QiEWKxGI899ljBa86cOdO59vz58/Oo12zMmzcPgBkzZrBp06a89wsdA8WwDmMzHa+eezao4Pw7cJkQohO4U0ppCCF04ERUX6J7h2uAIwX7CT/eIbO1JzJ25s57ze3QVF+4cCGZTIa1a9cye3Z+k9i5c+dy7rnn8oc//IFXXnkFgA984APceOONbNu2jaOOKl6M9+53v5u//OUvtLS0lKzPPuigg7jiiitYs2YNO+ywAwADAwPcc889Bc+32//uuuuuge9ztKCeezao4PwysAPKLM8KIbYCE63PP269P67Q39+/fZAZm3ateu1MdWfuvMJyO4yq20zlTz31lCM4DzroII4//nj22msvWlpaeOSRR3jxxRf59Kc/DcC+++7LySefzEc+8hG+9rWv8fa3vx1N01i5ciX33XcfP/rRj9hll1045ZRT+N3vfsdRRx3Fueeeyz777EM6nWb58uXcfffd/O1vfyMej3POOefwi1/8gmOPPZaLLrrIiarndqm08b///Y9Zs2bltdwYC6jnng1K8tEJHCqEOAY4EJgBbACelFI+OIzjGzFUwxk4FuHkb9YwOGTPndzOfZzz5s3j7W9/O/fccw8f/rCKnx522GHcfvvtXH755WSzWRYsWMBVV13Fl62a+sHBQW699VauueYafvvb3/LDH/6QaDTKvHnzOO644xzfZDgc5v777+fyyy/n+uuvZ8WKFTQ3N7Pjjjvyvve9zwlIdXR08O9//5uvfOUrfPrTn2by5MmceeaZZLNZLr744rwx//3vfx9xFqVqUc89K+R2pAnsv//+8plnngl0biKRKPpUHk/o/uMf6frlr2h773uYdv75NbmmPXdGXx9vvfd9AMTf8Q5m/eSKmlx/LOGmm27iK1/5Chs2bCAej5c9fyTX3f/+9z8nb3QstsYOOndCiGellMFKuYqgUXJZBKtWrRrpIdQHdlS9hhqnM3fbuY8T4P/+7/+YNWsWv/jFLwKdP5Lr7vLLL+fTn/70mBSaUN+5awjOIgiiHYwLmLUnMrbnzsvxuT2a6gC6rvPb3/428HoaqXWXTCbZb7/9+OEPfzgi318L1HPuggaHtju0tLSM9BDqAjkMGqczd76Sy5pdfszhwAMP5MADDwx07kitu1gsxne/+90R+e5aoZ5z19A4i2Dz5s0jPYS6QBp2s7baSTZn7rbzqHo12F7W3XCgnnPXEJxFMH369JEeQn0wDJVDztxt5yWX1WC7WXfDgHrOXSDBKYToEELMyTl2hhDiGiHE+4dnaCMLm61mvMMRmDU01e258zZo2159nJVie1l3w4F6zl1QjfO3wHn2H0KIC4FfAp8A7hJCnDQMYxtRbDdExsNQOeTMnVdYbocll9Vgu1l3OZCZDOsvuIDU8uVVX2NUEBnnYH/g356/zwQulVJOBq4DvlbrgY00thc+TmnWvstlQT7OhqkeCNvLusuF0dPDwCOPknjxpaqvUc+5Cyo4JwGbAIQQewLTAbtl8N+AsVfYWgbbWx4nRu18nAXzOBvBoUDYbtZdDhy3zhBcOqMxj7MLsFkKjgTWSymXWX+HK7jOmMH2k45Ue43Tnjs/AXxD4wyC7WXd5cG2fLLVP8DrOXdB8zgfBC4SQnQA56K0TBsLgXH3mNzuiIxrKDhdIuOGj7NSbDfrLgdOHvEQsjtGI5HxN4E1wGXAcuD7nvdOQTEkjSt0dnaO9BDqAkfTrKFG6Mxdo+SyYmwv6y4PcuiFGPWcu6DsSJuAY4q8fTQw7kKBNmHsuIeVAF/LyiF77vzmf0PjDILtZt3lwmnhkq36EvWcu6p9k0KI3YUQJwItUsp0Dcc0KrC9PPldE2kYNE4vrVzDVA+E7WXd5cJ+yI4VjTNoAvy1Qohfef7+MPAi8GfgNSHEAcM0vhFDOj3ungWFMQxExs7cbeftgavBdrPuclGDNtX1nLugGud7gP96/v4+ql3GPsBTwPdqPK4Rx/aST+dEMWtoqjtzZ2+GUKjh4wyI7WXd5aIWGudozOOcDqwEEELMBvYALpNSvgz8HBh3Gud2k09nL9gaapz23NnmudC0RjpSQGw36y4XNdA4R2MeZwKwk6QOB3oBm0q9H2it8bhGHG1tbSM9hLpAGrXvcunMnS0sQ3ojHSkgtpd1lwsnn3gIGmc95y5oHudzwFlCiNXAWcAD0lUh5qP6D40rhELbCVWpQ/JRO43TmTtLixCa3jDVA2K7WXe5sB6scghR9XrOXVCN8zuoJm0vosorL/G890GUn3Ncwe4vPd7hEBnXULDZc+eY6iG9ERwKiO1l3eXBHLrlU8+5C5rH+bRFK7cQWCal7PW8fT2wrPAnxy5mzZo10kOoC5wnfA0FZ97c6SG2p6aAQ8H2su5y4XZbrV7jrOfcBc7jlFIOSCmfzRGaSCn/LqVcWvuhjSw2bdo00kOoD2yNs4bBG2fu7GtqomGqB8R2s+5yYVcODaFWvZ5zF1hwCiH2EkLcIYTYIoTICiE2CyFut9iSxh3MMbDRN1z4XXrvu29I16gVkbE5MEDPX/+GlNKdu4aPs2KMhXU3LKhB6W895y5oAvwBwP+Ad6HyN68A/o5iSvqfEGLRsI1whDB79uzyJ40wBp99luTrrw/tItnaJMD3P/4EW668ksy6dc7c2X5ToevIRsllIIyFdTcccHztQ9A46zl3QTXOy4BXgHlSytOklOdLKU9DRdRfsd4fV1i9evVID6E8DGPINeayBk55ALO/X10vnXHnzvZr6nqjVD0gxsS6Gw7UoIKtnnMXVHAeiEp47/MetP7+EXBQrQc20mhvbx/pIZSFNIwhOdOBmhEZmwP91n8Md+4swSn0hqkeFGNh3Q0HHC6DISgC9Zy7oIKznL7Q0CdGANI0hkyeUSsiY3NgwHc9ddC6ZkNwNlAOw8CZMJwIKjj/B3xbCOGrEBJCNAPfAhbXemAjjTHRbdAwh564XiMiY3NwEACZzeZ1uRS63ii5DIgxse6GAc4Ddwg+znrOXdBU+28D/wFWCSHuRVUKTQfeBzQBRwzH4EYSc+bMKX/SCEJKCabp1/CquU5OBLxa2Bonpsmc+fPti6t/GyWXgTHa192wwfaHD+EBW8+5C6RxSimfQvk5HwKOQ3W1fLf194FSyqeHbYQjhLVr1470EEqjVi0vshaR8ZAFp6txOnPnTUdqJMAHwqhfd8MFc+hR9XrOXeDiTinlS8BHhnEsowqaNrr7z8kasRo5FT1DDQ4NuhqnPXf2tUWo4eMMitG+7oYLTjrSENZhPedu+/yVAmDatGkjPYTSMGqTuO5onEPUCJ3gUNZw5842zxsll4Ex6tfdcMEcugVVz7krqnEKIX5bwXWklPKzNRjPqMG6detYuHDhSA+jKNxo+BA1TqM27Ei2qY6RdedO2qZ6o+QyKEb7uhsuuETG1a/Des5dKVP9SIKnGY07dWLSpEkjPYTSsAXRUDVOp9RNIqVECFHVZQwrj1Mapjt30tU4G4IzGEb9uhsuOOu5esFZz7krKjillPPqNopRiGx2iInlw4yaa5ygFm0VnIZSSk86UsaZO6fkUtMaJZcBMdrX3XChFuu5nnPX8HEWQW9vb/mTRhI18nH6iGOr1AplJgMZl57OmTtb4ww1Si6DYtSvu+FCDSqH6jl3DcFZBKO9aZZLQDzEBHhTOlpmoZQko7eXdd/4JtkSJLFODicqOOTMnR1Vb7AjBcZoX3fDBjl0H+dobNa23WHUN82yNcUhPKGllGAYiJxWF16k3nyTwcWLSS0tzlXtBIascbnN2uySS60hOANi1K+7YYKsQV7yaGzWtt0hEomM9BBKwqlRH4pAsharCIeta+ZfS1q9qmUJ/5FP4zRMd+6ckktLo22kJJXFaF93w4YaRNXrOXd1F5xCiB0sQuRtQoheIcSdVluOcp/bXwhxvRBiiRBiUAixWgjxByHE/OEYZ0dHx3BctnawNM4hlVzawRtLcBYSwjKVUv9m0sUv4xOcWXfu7HSkkF70+g34MerX3TBB1iCqXs+5q6vgFELEUWWaC4FPA/8H7Aw8bBGGlMLHUf3cfw68BzgPeBvwjBBih1qPdf369bW+ZE3hmjbVLzSZq3EWWLSmpXGWWtB2RF2dZ7pzZ28GrSE4g2K0r7thQw2aBtZz7urdi/TzwAJgVynlmwBCiJdQzd7OAK4s8dkfSSm3eA8IIZ4AVljX/W4tBzrqn/xOyWX15q8dYCqpcdqmeiZTfChFNE5fyaU6UPVYtxeM+nU3XLAVgCGkFI06jVMIYQohjCKvrBCiSwjxgBDi2DKXOh5YbAtNACnlCuAJ4IRSH8wVmtaxVcAWoObt7ZLJZK0vWVO4NFxDyF0z/RpnQcGZtEz1Uj5Oi/0dAMNw584W6pbG2fBxlsdoX3fDBVsBGMoaqefcBTXVLwHWoITUTSjW95utv9cCvwemAP8QQry/xHX2QLXayMWrwO4Bx+JACLEbMBUYYuOdfPR7hcFoRA0IiPNM9UKC0/JtynQJjdNjqkvDdOfO9nHq1jJrmOplMZzrTppmyQdgpeh/5BGSr71Wm4vZa2MI46vnng0qOJMok3ielPKzUspvSyk/g+o5tBIlQN8G/AvF3VkMk4CtBY53AxODDhpACBECfmV9928q+WwQjPZ8OqfXUA2j6oX8mI6pXqJFhzkwADYzjZF15s5NR2r4OINiONdd929/y9qzv1Sz62257hds/fOfa3ItaQ5dEajnng3q4zwT+JKU0qcLSykTQoirgGullD8UQtyI0kRLoZAuXk2B9LXAwcD7pJSFhLG6sBCnA6eD6oK3ZMkSZs6cSWdnJ+l0mrlz57Jq1Sra2toIhUJ0d3cza9YsXn75ZTo6Opg9ezarV692+pn09PQwZ84c1q5di6ZpTJs2jXXr1jFp0iSy2Sy9vb3ONSORCB0dHaxfv56Ojg6SyST9/f3O+7FYjPb2djZu3MjUqVPp7+9ncHDQeT8ej9PS0sLmzZuZPn06PT09JJNJ5s6dy8q3liNMA1KpwPe0adMmTNN07qktm8UwTfqTCXQpeWv5cvTBQd89DWzZQjabJZ1IsGTJkoL31LdmDeHmZjJbt9LV2cnAG28Qi8Vo7evDMAw6u7vRpeSNpUtpnjy56D2tWrWKlpYWYrEYnZ2dVd3TaPudKr2ndDpNPB4flnvqe+01wuvXs2TJkprcU6avj2RnJ829vUP+nTo3bUYaBqFMhiVLllT1O/X09LBw4cKy91QTSIvcodQLSAAnFnnvo8Cg9f/DgYES19kE/LrA8V8AW4KMxTr/MsAE/i/oZ6SULFq0SAbFihUrAp87Ehh49lm59JBD5Vsf+nDV10ivWyeXHnKoXHvOOXLpIYfK1OrVeedsvvZaufSQQ2XXTTcVvc6Giy+RKz52klx6+BFyy/XXO3O39Y6/yKWHHCq3XH+9XHrIoTLb11f1WLcXDOe6W3/hd+Wb73tfza637Kij5bpvnVeTa235xS/k0kMOlcuOObbqawSdO+AZWYHcKPQKaqo/A1wkhJjhPSiEmAl8z3ofYC5QKifgVZSfMxe7A4GcJUKI76BSkb4ipfx9kM9Ug1HfbdD2cQ7Bme70BApHfNf0nZMKlgCvNccRmgaGp8sl/gT4hqleHsO57mQ6PaSePr5rmSYylaqZz9RxPQ3heqOxy+VXgNnACiHEw0KI/yeEeBh4C5gJfNk6byfgjyWuczdwoBBigX1ACDEPeKf1XkkIIb4M/AD4jpTymoBjrwobN24czssPGTXh0bT9luHitepuAnwJwTk4iNbcDKEQMms4c+ewIzWCQ4ExnOtOZrMl08oqupYVwa5ZsMlOrxuCIlDPPRu059BzKKF4JcpE3sv696fAzlLKF6zzviul/F6JS92ACibdJYQ4QQhxPHAXKmL/a/skIcRcK83pu55jHweuBv4JPCSEONDzqjgiXw5Tp06t9SVrilrQcOVG1QumI2UCapzxZtXN0si6c9dIR6oYw7nuZDY75OZ+Nkw79adE0LASSE8eZ7XrpJ57tpKeQ12UjpgHucaAEOJI4CpUCpMA/g18VUrpzSUQgI5fsL/bOv5u6+XFI9S402Z/f/+QiVGTr71GZuNGWo88skaj8qAWRMbWNTSrxlcWuJbpaJylE+C1uXNUoruVjjRp0iQnHYmGxhkYtVh3xSAzGTAMpGkqt8pQrpVIWNeslcbpEZam6WZiVIDhnLtc1LtyCCnlauDEMuesJCfSLqU8FTh1uMaVi0FvGWGV6PnLnQz8b/GwCM5aapwOeXGBa9n5mzJbRnA2N6veQkbWmTvXVLeu39A4y6IW664YnN8wm4UhEmLYGmetNFjf2qtScA7n3OUi8GNHCPFpIcQ/hRCvCSHeynktH85BjgRqkRMms1nMbb2+ksSaoQYap21+i5Bdq17cx1nKaW8LTqFpUIiP0yq5HGoL4rEGc2CAdd/4JplNmwJ/ptS6M3p76Xvo4arHE4TpKijMhCU4a+Uz9ay9aoXxqOPjFEJcCPwOFQh6AWUae1+PDtP4Rgw14faznqKZYXBaS6c9xVDYkSzBFrF8nAU0QrdWvfBmk+k0MpNBi1vBIdN05y7Hx7m9aZzpNWsUl+mSJYE/U2rd9T3wIBu/9z2Mvr7qBmT9hrUQnDJl+ThrFhzKaeFSBerJxxnUVP8s8DMp5TnDOZjRhHg8PuRr2E/RzPoNRHfcccjX86EWPk7Dr3EWNtVL16rb5ZaOxmlk3bkbxyWXA089RWz3PdBbipN62Q+bQpp8MZRad06grkotz3nY1lLjrFU6ksfHWa1lUos9GxRBTfXJwD3DOZDRhppUGFhPzsyG2tNdeRmzq41C5tPKFQoOld6sthtCa45DSEcapjN3eSWX40TjNPr7Wf/1b9D3r3+VPM/xKVZgFZRad0NNQbN/w5ponMmEf0xDhVdYVnnNmlUFBUBQwfkIsM9wDmS0YfPmzUO+hnQE54YhXysP3oVWrSaXS2QsC/g4y9Sq+zROKzjkzJ3DAG/7OMeH4DQHB0FKTEt4FIUdwKsg6bzkurOvN0TBSQ38kmYA1qxK4HU5VXt/tdizQRHUVP8qcKcQogu4D0XK4YOUBXbdGMb06dOHfA1b2GTX115w+jajYVQVhQxCZFyOj9PROONxZZJnDXfubA3TSX0ZH4LTnpNyAsiZswo0zlLrzv7NKxHEhcZTCy3R1jgpkW1REXLTkapALfZsUATVOJcCe6ICRJuATM6reF+FMYqenp6hX8T2cVYQVQ0M7xO62ra+QRLgy0TVDcdUt9KRTMOdO2mCprk5g+PEx+lUU5URYI6gq8DHWWrdOVp/lQFBx8dZC43T8XHWPh2pWsFekz0bEEE1zosZL+pCQNSCFNU2PzIb1iOlRIhqSKCKXNvI0TirgW2qR0q1zihdcumY6vG4MsmzLpGxlFJpm+NVcA6Dxlly3VVh+vvG4wSHhi7sbDdFzWvVoer1XE8i40CCU0p50TCPY9ShJjlhtsYxmMDctg29liQERg00TieP006A9z8bpWG4KSxlg0PNoOtI03TnzpRWGYOwxjk+nr1ONVUZoWFriJUIqlLrbih9pqRpOlZDqWKGwNercVS9Fut51OVxbo+oRU6YNA2wtMxaB4hkDaKQrsZpt/P1X8crLIuZT/7gkO7rq440EUIDTTh/jwc41VTlTF77/Qruu+S6G0JwyCfgapGOlHTzOGvBQeANkVQrjEdFHqdFsHGjlHK9l2yjCKSU8pLaDm1kUZPUhqxBaNo0shs3ktmwgdhuuw39mjZqoXHaPs5QYXYkJwhCGY1T1xHRKOgaMpF2505KEML1cY6TdCQ3t7WMqV6FaV0yHckJDlUuWLytT2qZjgQoQWz7yatFDYJD9UxHKmWqX4RiIlpv/b8UJKov0bhBLBYb8jWkaRKePcsRnLWEbzNW6zvMDQ7lCDYnMERxIaGYkeIIIRB6CNM0aLLmTpoqOITQ3L/HAYKUoYLrF66kuqvUunODQ1U8gDy/Xy2IOezgEKgHhBiy4Bx6cKgWezYoiprqUkpNSvmU5/+lXpXnwoxydHZ2Dv0ihoHe0oo2oY1srXM5vaZNtXl9OaZ67nXs5HdCoeIap83FCU5wyJk70wqIOab6eNE4g1XwOA+bCqLqJded/bCsgsrNq2WW6h8VFN4c1pposDXQOGuyZwOi4eMsgpkzZw75GtIwQNcIz5hJpsa5nHl5nNUgx1TP3eC2Sao1x4syhzvMSKAqh0zTnTsrHck9eXxonE7ydxnNzYliVyCoSq07+0FXlY/TK+RrIei8GmctiD68rqcqo/612LNBUbHgFEJMFULMyX0Nx+BGErXSOIUeIjRtKtlaVzX48jirLLm0F2i4cK26rVlpzc0lfJyDaE1NgEUfl806cydNc5z6OAOyDGUrN61Lrjs7Sj9EwVmTWnVv6k/A8ZiJRNGx+9w4VQYRR53GKYRoE0L8TggxCGxAtQrOfY0rpNNDz+mXhoEI6WiRSEWLNbVsGenVq8tc21tyWaXGKXOIjHPTkWzBGY+XIPnwaJy6hjQMd+4kykx3fJzjRXAGTEdyEuCD//al1p3zoBuq4KyBj1N6BGeQtS2lZOXHT2bb3UUoLzzVb9UK9lrs2aAImgB/HYp8+DfAy0Cq9OljHzXh4zQMJTT0UEVawqaf/IRQRwczf/jDEtf2+KyqToguTWRsB0G05uaS7EjhGcpEElblkJvHmZuOND4EZxBWfN/7Ffg4S+dxVs625HzW6+OskcYpolGrYVv59SfTaYzubjJr1xZ+X5qIcFjtkzGQxxlUcB4HfENKed1wDmY0YdWqVSxcuHBoFzFNReIrZUVahxxMIJNlnk1e7a1K08Yek93lMndDmtYTXG9ucfL1cqufzIFBNIvOy65Vd+Yut+Ry3ORx2qZ6uXSkyqPqJdfdUIJDGa/grEUCfAKttRUjlXLo7kqebz1sipJ6mxIRCiGpPthZkz0bEEF9nAJ4YzgHMtrQ1tY25GtIIwt6CKxePIE/l8mUXzxejbPqBHi7PXDhWnW7NbCIKx9moaCC31RXRMb23EnTKrm0he04CQ7Z80K54FAVGmepdTek4JDXjB0iyYeUEjOZRLfzJgNcz/aJFhWc3pSmKsdXiz0bFEEF55+ADwznQEYbQqEatGMyTISuOXRrQSGz2bKLpxa1vQ6RcdjuCVQ4qq5bgjHXNJWGgRxMeDROHbJZd+5MUz1yx5uPMxWwbUQVPs6S624owSFfHufQNE6ZyYBpotm8q0F8nJbgLiY4pWkWLcQIiprs2aDfFfC8fwFXCyFaKU4r91AtBzbS6O7uHnK7UWk7vKWsTOPMZssvRl/CcLWmup+PM/c63qi6PS7fEKxOh7nBIWfupEQIDTHOSi7NgFF1WUVUvdS6c4NDVfg4fVH1IWqc9u/eagvOAD7Osqa66Zb+VqkI1GLPBkVQwXmX9e98/J0mJUqnkKh2vuMGs2bNGvpFslnl36swOCQzmbJ+Md9irVYgmUYO7VtuArwbHFLfmSM4BwZ97ws9BIbhmbscdqRxEhyyTfWggrMSjbPUuhsKyQfZ2vk4bbPbNtWD+DjtzxgD/QXfl6bhapxVCs6a7NmACCo43zWsoxiF2LRpE62trUO6hpQS9BCCbEVJxzKbKZpw7pxTg+ZWMqsS9J00kCK16o7gzOQKTpfEGFQ3S2kYztwpH6cYfyWXgTXOyn2cJdfdKCH5sFORtJZW37hKfiZlm+pFWvgaJqLJKpmscp3UYs8GRVBauUeGeyCjDeYQN7mUUmmcuq4ihRVcL1hwqBYllwZC012NM9dUtxa7neCe6xvzcnGq/+hI03Dv1TQRCE9waLxonMHSkRwatwo0xFLrrhrSEOezXsKWIQpO0xGclfg4y5jqUnqyO6pbz0Pds5WgUXJZBLNnzx7aBZxGZZpFt2YEot+SUqpobUCuR993VQrDVGPTbI0wt3IoBeGQYj6CvDYJPi5OrP7pmaxrMklVOYSdwTRufJw2yUe5PE7rN6pA0JVcd0NggPflcQ4xAd7xcbbYLpzgPk5ZpHpImibYQcoqBeeQ92wFKCo4hRAPCSEWev5f6vXvuo24TlhdpnKnLOw6cD2kzGHPsZJw/GKVaJxDyOP0CM48IuN0Gi0aK+p7Mgc9HS7B6Z++euVKdb6Zm8c5XjTO0r3mnfOq0DhLrbuh9ByqJa2c4+O0zOJAPk4P05ZtqfhgGE6b6mpdOkPesxWglMbpzXTWrL+Lvcad5to+RLZ26dM4g6dZOA21ygWHfFH14htBGgZrv/RlBp9+Ov9NO12qRHBIRCJOZVFRU93LjgS02/l0dsmlrdGOG8EZsHLIFlAVPNhKrTvHVB8CO5KIRKpKoPfCyaaoII/TyX2lsLkuTXPIeZxD3bOVoKiPU0r5Ls//j6jLaMYRbK1AaLrbrCmbBTvloujnrEVdzpwyLNMmky3pOzQTSRIvvEDygAOIH3CA/7tMQyXog9X2IlfjzCAiEVcTKBYc8rAjqbHZ0V+r5HK8+jjLaW5VVA6Vvt7Q05G0eNPQ8zhzNc4KfJxQxM/pEZw1awA3jBh3mmKtMOSOeaZN2aZXqXGWPtdHHltqY5olWMOzhqttaqIgO5KIRpwE+TyN005H8rIjAT3dKs1XjteSS9s0Nc2SLpVqfJylu1wOQeO0fjsRaxqyYLJJjN3gUIDKIa+p3l8gJcn0rOcq18lo7HIJgBBiIrAzkEe1LKV8tFaDGg2YM2doTHnOhtJ0t747yJPZMe/KaTNqoUkSJX2cpVrCStN0UpGEpuenIyWTaJGIx4TK0TgHBxBNTY6JLiyNc7bNi2hKKzhkN2sbH4LT9Jid0jCc+8+FM/cVCIJS624oDPAym1EPsWhlTF2FYJMY2+lIQTRYL/dCQVPdGLrGOdQ9WwmC0srFhBB/BLYATwIPF3iNK6wtwuISGIarcdpBkyBpFk67hbJ5nKaTvlFS47S1lEKL27vpdS0/HSmTRkSizjmFNE7HTAfnPtevWWOdYKqqIVE4+DRWoTTxqPX/4kLDEVAVCIKS666KEk73s1lEKIQIhYecAG8LQScoGGA8XlPdKGSqS+nptlqd4Bzynq0AQU31C4EjgE+jgkFnA58DHgeWA+8fjsGNJDRtaF4MRwvUdEcTCyY408HONQxPP/QqNU4PB6KwcjC9MC0B4WoC+T5OJ4cTV+N0Zk5K8JZcMvYFp8xkwDDcB0YJIWQLqEo07VLrzlkTVfJxinDYaW8yFJjJhLUurLzLABqsz1QvGBwyPC1cqrNMhrpnK/qugOedCFyMIvsA+J+U8ndSysOBF4F3D8fgRhLTpk0b2gVsAg07jxMqSkcqm8dpBvNxuknTBTa46fVxavnpSKm0P6qeKzgHB/2C07rPjokT1fl26wwnaj/2TXXbTLfvu6TQsH2cFQi6kutuKJVDtuAMh4ceHEok0Zpiru87UB5n2nnYFAwOGeaQNc4h79kKEFRwzgFelVIaQAbw2Gf8Fjip1gMbaaxbt25In3fTkbymeu2CQ2RdwVny3BKCWBpeH6dWIjhkaQIFouqFTPWN69ZbF8CfjjQOBKdtETiBkRJCSAbNyfWg1LobksaZzqgsDKssdigwk0lErMnN7w1g+stUCm1CG+h6wbJLpQgEF8SFMNQ9WwmCCs4uwEraYg2wj+e9DqCploMaDZg0adLQLmDnzYVCjgkbyBeUdbWUUnmPQfPeZDkfp0fjzGNHSqVUcMh2NeRWDuVqnCE7j9OqF7bTkRg/6UiyDPGJ71yHHSn4A6PUuhsqA7wIh5WPc8jpSAm0WExZGEIECnqaqSRaJIrW3FwkHUnxOiBE1VH1Ie/ZChBUcC4G9rP+/xfgEiHE+UKIbwBXoHyd4wrZoRIhOFF1rcLgUMBuhEYwn5BTbVIsqm4LdU3L2+BmOoUIR1zNIpPBHByk67e/w0ylfK2B1TXUtbJ21NkquXRJ48eB4HSITyxTvcYaZ8l1N8T2wCIUVizrQ06AT7qEHCE9WB5nSvnLtebmwulIhqE6CIT0qjXOoe7ZShBUcP4IWGL9/wfAQyif54+At4Av1H5oI4ve3t6hXcDuWa7rHo0zeFQdSpu2/jzOUoLTMv0LRX+NLELzmOp5RMZpRCzmfk82y+Dzz9P9u98x8NhjRYND/X291vitdKRx5OO0NU6XUq2UoCvt48xs2syaL56F4ck/LLbupGlil6xWVXLpDQ4NsVbdTCbQYlbubigcuFZdCc54nsbprHOhKQulSh/nkPdsBQgkOKWUz0gp77T+3yelPBFlurdLKQ+WUtavSLROGGrjJ5/GqVegcQal//JWWpTSIOx2C2V8nOh6AVM9jYiEPb6srLPoB59+Ol/jtK410yaTlXLclVyaTjsROzhUQuMs469OvbmM5Msvk7Zr+zMZpm7cWPhi3r7j1ZB82IIzEh5yHqcdHAKlGAT2cUYjhU11R8mwNM4qo+r1bNZWVnAKISJCiOeEEMd6j0spU1LK+on4OmPVqlVD+rxTcqmH3DzIIE/mjD+5uuh5QTVOJy+0wGYx3TzO3OCQlFJpnJ4EeJnJOo79gScXQzbr5vLhRtXX2/l047DkMredSKmHW7lgjtNOwhLGA4sXs+n8b5Navrz4taDqkksRCqkH5BAFp9Hf5/IThMMBfZwpRCSK3txSVHCi6SotrkpXwlD3bCUoKzillGkU83v9HAijAJEyNeVl4Su5tLS6AE5vH/1XScGZDRZVN0v4OG0iY8gPDmWzqq9MNOoj+bAZkYytW9XH4q7Gad9n2NEwh15ymXjxRbbdc2/FnxsuBA0OedvcFvsdHY3UFqB9fSAE2c2b88/1PHSrI/nIuMGhIfg4ZSZDdtNmwnZ1WEgPRFMnUylErHBwyFm/mlDrscoH7JD3bAUI6uN8ADi27FnjCB0dHUXfk4bhS+gteE62gKke5EnvFXClTHtTenq0VFtyafh9nB4B7JikkYjV/kNpKrmUYF6N077PCTYLdw1KLrfdcy9dN95Y8eeGC3ntRIoEh3zCssh9u4LTIvlNpdE0jWxXXksvf0CoGlM2Y1cOhYYUVc9s2gyG4QhOJYiD+Tg1KziU1z7DrrLTLCaxKgV7qT1bawQVnNcAJwshfiKEOEQIsaMQYoH3NZyDHAmsX7++6Hvb/nYXK08+ufQFpCc4ZGucFZB8QBlB69U4y9DK5V7XvYbpBq50f+WQ7TIQEVVaKEIhZDajAkItLc7GKaRxdm6yNCa75LII32cQyFTS0fJGA5yoepngkI//sqipbglOm20plcI0DIyuzvxzvT7OqhLg01YCfGhIlUMZK1cybJFVB/VxmukUIhpTGufgoM/f7fxf0wumxQVFqT1bawQVnI8AOwBfs/6/FFiW8xpXKPX0yqxbh7Gls3TU216cesihbgvk4/Q11SplqpsO3VtJgWRrnAUWtzSyTgoRQvjJka3NLKJKq7V9WXZAKH7A/gC+qLp9nxOs7odOyaXt46wiOGQmU2W1+3rCaScSL61x+vveFxGu1m9iWrXfMp0qoXEahf8fEDKTVSW6Q9U4cwVnOFiwSaUjqeAQmWzBPu9OlV2VUfV6apxB2ZE+A+MgCa8CJC3OwUKwGbBL8mt6Si5zj5WCb1GXIe9w2l4EKLksmIJimI6PU6UjebSAtGuqg9WILZN1qoWaDz6YbXfdTcjTjtXWXtMW0W1eyWUVPk6ZTEI260SFRxr5LZOLmOpeYVLkwZZvqqeQSLLDonFmwDbVh1A5lFm3DhGNok+eDLjtUkp+t5Q+Ux2sqjObKMWTjqRaTFencZbas7VG0GZtNw3zOEYd+gsl6VowE8rPJ7NZ18+YA+fH91COBSu5DKpxGip5XddKn1fOx+kjMvZonLaAsPsNWRUndrVQ88EHM++OOwhP8whO614TtvPflD5TvRofp5lKWv+m0CsQnGYiAUKgxfIYEIcEezxamai6w7geDhd9YDrdMh1TPY00JUYBjXPowSGrckgPDYkdKbNuHeFZs1wrIoggzmRASkTELzixK3283RKGEFUvtWdrjaC0ck7/oQLv7SKEeKi2wxp5lMoJk4OWRlUm6g1+H2eQBeETcKV8l3aHSpGfuO5DKR9n1nA0YqFpPhPQNh8djdMyybxlll6hCTgPiamWNqI2hKcDSzU+TtuMrVCb2HjR99n84ysq/r6y40nlVA4VE5zWA1BEo0UfmPZvYnoEqK7rZLu68k8eYnDIEZzhsDKVq8ypzaxf70bUwRLEpde1fX8iGnUavPki63Yep6YNKao+qvI4LRwBtBV5rxU4vCajGUUolRNmm+olF4yTYqFVFhwKmI7kmNllEobdBl8FEuBN0/Vxappf47Q1K0tj8wWHvEnvHtj3udlJ4pbq/kX1tHL2XJvJyvyc2S2byWzaVPH3lYNMpyEUcs3MYmZq1mZcjxXP47RNdbv5WzqFYRhkuzrzBNuQTfV02iq5rICpK/capulonDbUA7VM7yXrNxTRiPPQ9QpO6c3j1KsvCR1VeZweFFv1OwL105HrhFgJE89mwA6S/CxCoaK0bAU/51mExUxwKaWKWOshlU5k+Tj7H3+CTE7liUMMUZTI2FoCek46ktUeQdhtMUIhq3LIT+zhg2X2R2wN28ypHKrCVLc3nS3IA38uk3Xa2NYSNvEJTh+m0ulIWiRS9L5dwWn5OJMpFaTLZFVOpxdDDQ5ZGidFuFWDwOjqQqbTfsEZKs/v6eS+RqNOqaqvXt1JRxJqvVQZ9S+1Z2uNoj5OIcRpwGnWnxK4XgiR82vSBOwJ/Ht4hjdyKNlt0DbVy5BwgGV+2BpXpSQfxZ68niikN31j4/e+R/tHP0LHmWfmnVtU47SEXS6RsbTbI3g0TjJZZG6ZpQe2EI5HrQUspbr/IbQHdnyciUoFZ2bIFTIFr5tWnT8dEumiprqlcUajxTWonOCQTCYdMt5sVxd6m2vk+TTOqvqqq8ohp/9VFXPjRtRdU51QAFM95THVC2qcbjqS0ENVBRGhvl0uS2mcJmBYL5Hzt/3qAn4JfHZ4h1l/bCxWMwxOe9RyJZGA0jbtxRrENxXAVPeZNlZUXZomMp3OEzCO1moY+dfLZl2NU/O3znA0TltwhsOY6VQelZwPlqZpN2uzfZyiypJLKaXr46xY48y42Q81hMOKX6SdiPP9dsltNFo2qm67Icx0CtP6bY1uf4DI+R2ryMOUUqoE+IjLdBWkTDIXaVtwzvRonAF8nPaDQfk4lcbpa59hPwisdKRq2ZFK7dlao1R74JuBmwGEEA8DX5BSLil2/njD1KlTi77nCM5S+XAFNc4gvVkCVA4Z7kJTUU3TjZ4n/eapV9uR2ayvsZjXxyk04TMpzRyNk3AIs0+ZV75qIQ/sa7dZAQAnHcnJ46xQk8hkHPdBpUJQZnNyBWsEmx5N6LpVTVVEcNoFBNGIw63q+noVnKCQExxKE5oyBbq7yXbmBIis31ELFzf9i8LWfkMhD1lwNRrnetB1fyZFBT5OrYjG6WUSU7726gRnqT1bawRlR3rX9iQ0oXRqg+M7K6lxetKRKiH5CKJxOkLZ6qBpGI7AzUsW96ax5Ap6r48zp8ulrem5Ps4wxrZt6tQywaGkXZZpSmWrVOnj9N5LpdVDMpPBTCRqzsgkUynHTBehUHHNzfFxRn1/+2A/7DyVQ9JK4s7N5XR+80ikYm3RcRuEQz6mq0qRWbeO8PTpvnzaID5O11SPue07PP5nN49TqOtVmcc56tKRtkcMDubT+4PlO7N9UyWj6rYfUncXa4AnaaDKIW8HTSv/0mnylhN99l0vR3D6mrXlBoeSCRURD7tCopzgtINgdgK8Krn09hyq0FT3aJmVpiPZTdUYQpVMweumU2hR131R3FR305GAghkVzsMu7QpOIx5HxGL5uZwewVlpVN2XUzoUH+fGDYRnzvAfDODjdE11K7Ut3uR3KXnTkQo0DQyKYnt2ONAQnEVQLCfMpwWVTDy3zWndZQeqUXDIn76hK40zJ9DgDtjznbkL3NseWPhNJJlIqvYIlnkpQiFHSyjm47Tvc9KECdZFhlZy6euMWGlwyLpXs8aRddNuYIdVTVUs88HJ47RZ+vPPcx52lkZmptO0Tp5MaPLk4hpnNFqxYHHWlNdUr+KBongKWn3HVPpQ8Kg6gNYU9/0uvo6wulaRD1dmMhg9PchsdlTmcW53KJYT5mMHKkVi60mAd9KRAgpOOyBT9PzcqLrpala5+Y4lNU5vHmdO4rFqyOWmd3jNs6LBIes+u7eoTS+ldLXNAgzz5eDVMs0KgkPSNJ2HRK0DRN6e6pTo32P7/Zx8zwLmZ246kkyl6Esm0SdPztM4nWBTJFJ5cMiaC80bHKqy4VtupZziMCgthM2UGxwC0JqaHHpCdYLNJCaUxlnBOkm89BJvfeB4kq+8MmrzOLcrxIsIB59vplyCOlSlcWoxa7MV5Xq0rx2yKn5MdxPmCApfGouXeUlKn8YpNN3PMm415HIQcoNKRX2c1n1GPAn/Tk91TUOaEpnJkLaJjsvA+xDIdUGUgu9hUWONU7WA8FdTlRqDsFOzCmiJDjuSp3Io3By3NM7CwSERrTw45NM4Q9VrnDaxtRciAB+n4y+3BWc8nrOPcpjEKtE47QBgOFx0zw4HGoKzCFqstIlceDWYkgvG9nH6+DiD+DgzCKufS/GourWJNOHQwTmmabqExukjnnDrg4G8yiEzmXICQxBQ47TuMxK2+2N7Si6F+nvbXXex6uRPsOXa68pGvb0pSJWkI3kzE2ptqjsJ8Fjui0yRe8gGMdX9AT0znSLa0oI+eRJGjuD0JtRXqi06waFQ2FOMUYXG6QmMOajAx+nMW1MMc9Dzu9gaps37WoErwsupUGzPDgcCC04hxCwhxJVCiGeEEG8JIfa0jn9VCPGO4RviyGBzARZu8JvqpXkwczTOMixGDjLZkuYdeHycekiZ64bpai25mpmXKq4ASbJDZJwTHMrVOB0KO0ponEJAKES/FUTymuoCAUiMXlVD0fP//h/rzj23ZNTb+5CqqOQy6xWctTXVzXTa5SgNoHE6JCklBKdMpZRgzGTpT6cJTe7AHByk89fXs+lHP1apVfbvFa4iOJRxg0OV9ELPu0467d6PhSA+znxTPe53oXgbG+paRVF156EQiRTds8OBoCQfewAvA/8HrAfmArbOPhf4yrCMbgQxffr0gsd9pl/JksusEpp2YKQMi5HzOY+Ps2zlUEhXPkrpyeNMlfJxev5vC0mnPbA/HclMlPBxejTRXAhNo6XJo5F6THWsPkaEQ7Sf/HESL7xYMurtvZdKouo+l0RyOEx1l9y5GKWaI6wiOdRpBcYpUynnXtsmdxCeodbe1ltvpffee8ls3OT+5tFo9RqnTfIBlac0OT2ocgSnxdNa6gEoU2mfm0D5OL0KiIdWTtMrejA49IfhcNE9OxwIqnH+FHgd1Xvow/gob/gvcGCNxzXi6PG0bPXCZ6qX9HEarm8T68kcMB1JOD7O0nmcDn9h1sgz+9xxFA4OOcEGh+RD5LAjJXzahb3ovc3bCiKke/I4TXcOLFeATCsm8tAkxaBkljDXHTM7HKosOOS5z+EJDnl8nEVr1XPSkQppnJ4EePt3S5gGLYcdxqyrr2Lq18913vcGhyrXOG3h4m0cWGUuaAEfJ1BaifC4N8D2cXqCrHa3BE1YGmfw+/O2eCm2Z4cDQQXnIcDlUsp+yCP72ATUT9TXCcVIUX1pFIV6ldvveXIkgcBObxUcarKuUWQx2qZNSHdqzF1TPelvS1AsAd5T5gYghOaLZspkCtHkNdXVvRTN4bTP03SytvA2TSXcscx4KzgkwmFHoJTSJG23g97ejqzA5PYKhVr6OL2EvIBipipbq277OItrnIBD6pFBIMJh4osWoU/ucM+zBXEkUjl7kCePU1RJ8pFLbO0gQEK9TLtaOoAWb/L5OJ0Hga6DHqoo+OVWaEXrSmQcVHCWupMOoPY0NCOMYjlh/mhgKZIP01feqPqWB9M47Z7VRenInJ7tupNG5CxcKX3mr7/kMr8PjqNx6npeOpItwME11YsGhuzzQrrTOkNK0y23tNKR7MisZguUUhqnpWWG2tsrap/hN9Vrt5lcrcs21ZWPU2YybPjeRaRWrHBPth5YjpAtFFXPZp35sX2/UzwEGg6RiE/jDFdcWeMGhzy8CQE6U/quYfspczVOvXyqnZlK+wSniDVZ92SNwcMAL3Isn7LjSrtuiNGYx/kULlNSLj4GPFGb4YweFM/jDOrjLKBxBjXVo3YeZ5HgkK1BeBizfdqLV8gUSUfy+Umta/nTkZI+jdPWLMppnOghtnVvtQYiXR+nEFaFUwYtHHH8p6UEoq1xam0TqvZx+n6vIcLLKwlunXZm3Tr6H3qIgUcfdc/NqRwq5HaR6bTLiN7XC8AWj7lpm7cynXLcPCISAdOsTCvzaZy2oKtO47QfeDaCpDd5U7jA9ZE7vLbevORKNU6Pj3M05nFeAnxACPEvVIBIAkcLIW4GPgT8cJjGN2Iomo7k1ThLmd6mka9xBjLV0548ziKL0dYM7Z5DhunvqugNqmQ87T0K1cHbrTNyg0PJpFNaCBVonJpG2Okj7yG20ARIXFM9XF7jlKmk0k6bmvJ8nKXYj7zalFnD4JAdode8HKWZDIZlZqc9G1dmsyog4syFXxhIqdwWDluQpXE22VVXuNqdTKfd2vcSPtNi8AlOOwG+wjzOYqa6LYjL+jg9a8kmiXECRLahY1cOVRocCqt85lGXjiSlfAT4ICo49FtUcOhy4FDgg1LK/w3XAEcKxUhRzWTCMa9K+nWy1Wmciv7L3hxFnry5bTlMMycg4hGcpuFWInlNWLt80tYqNeGYTDKTAa/LANckKyc4CYUIOTRyXh+nSndSpnrY9f2VMtWTKUQshohF89KsNl91NWvP/lLBaG6h+6wF7Ai9l2qPTBZjm9IW0ytXuudmMxaDUpG8yWwWpHRbSVgaZ9Sz+R1t1WeqF4/SFx23PcchTzpSpQGmYoIzgI/TTOX4OK0Hj/PbmB6Ns4qouk2kUk8i48B5nFLKv0spdwZ2QQWLdpNSLpBS/qOSLxRC7CCEuEMIsU0I0SuEuFMIMSfgZy8VQvxLCNElhJBCiFMr+e5K0NnZWfC4HEy4HQ5LmTtmblQ9qMaZcdu4luXjtKLqOYLTlyyezTr5mD7h6ghOS3vykCs4eXeFfJxlg0MaiQHFUqPyOHN8nJk0Ihxxc1VLmuoqsq9FY3kaZ3bLFlJvvEHq9dfzP+e7T//nOn/1a7bddVfJeygGW8O1fb8OK36vyltNr1rt/mZ2jx/7/nMemvYY9RyNs8fjWrCFlJlO+4JD6gOV1HN7SD5sQVcisFkIbvTan45EAB+nTCZ9prpdWJHHayuEowgEhd0vHorv2eFA0DzOve3/SynflFL+V0r5RqVfJoSIAw8BC4FPo8z+nYGHhRBlnGcAfAnFOn9vpd9dKWZ6GlJ5YSaTaG0W0UFJH6fpK1NUwaEyFRZSuk21NC0AA7zVrC3Xx+lLmTIdX6XPhLXMJKc6yJN4nKeN4ppkZX2cIZ24LXDz0pGk82BwhEIJwVlK47Tvt/cf+c9tr4vDa6pL06TnL39hy7XXka1ik+XOiwhbprol9GQ6TdYi05WZrMVeVZjE2kmQt/qzG5bwnTrbQxLsMdWdskQ7Kl6RcPHQytmfL7C2um+5hS2/+EXha6SLBIcCkIbIdMql18Pj43RMdZsB3m4PXJnGaY+p2J4dDgTVOF8QQrwohDhXCDGj/OlF8XlgAcq8/5uU8i7geFQS/RkBPj9BSnkoyuc6rCj29DITg+jNVtS4ZPverBuxxjLVy0VDDUP5Be3+1+XyODVdpcRYAsl538fglHXTmwpoYrbpLYRwNU47COKrHLJN9eLJ7+o+QyQtjVOZ6t4ul8oXK8IR1wxNlfBxJpNosShaLJZfg2/dS9+D/84Tvs596rrT5gQgu3GjStdKJum+5fcl76MQ3HmxNE6rcsjo7XXOsf2cyscZdvlOczVOO9jSqh7CNkl0j4fg1xGcqbRbUFGAwX3w2WfZcNFFRZPQ7QeJiERK5nEOPvMsg08/XfgaZUz1UkqEmUr71pJDZpyjcbq16sEDV6ZHcI46jRM4GVgFXAasFkLcL4Q4xdIgK8HxwGIp5Zv2ASnlClRU/oRyH5aV0KYMEekivjeZSCqtSy+ewwdUlY7kbPhwuKSGKj0RcZuco5jgxDAcDcmf36ie9k4VkOamIzlmvI/kI5jGKXQN066IQfrzOKV0TCvHV5dLg+eB8o3FENGY4kH1ZQik0VpaMPv7GXjsMd/nHDO4tcUnVO10oehuC9l2zz2k164reS9548nVxHWlcZp9vc6DIGX5OaWRVUJFK8xTYI/R9nEalo8z7XnQ+AJoNiGLTQrtmYvBZ56l/98PYRRzL9nBIU/1TiHhZCYSRR9kxaLqlBDEzmeLRNVdQnCXVk6xIwWnH/RqnMX27HAgaHDo/0kpjwdmAl8D2oHfAxuFEDcLIY4O+H17AK8UOP4qsHvAa9QFRfk4EwlEU8zSIMuXXNqweTNLwbfAS2moXh+npkyboqa6N72pYHDI0p48tepOzl6BWvUg6UjNtjA2c3ycSIeazMkcKOnjTCJiUfdc732lMzTtsw+hGTPo/de//B+0hVJrmy84lF6xEoDpF1yA0DR67vhz6XspMB5wHygiHEYaWYzePkLTpqFPnkzG1jgzdnO0Ihpnjo/TtMz9OQsWOOd4c11l1oCQ7qSP+R4i1hx6g1O+77K1RV/H1fy1aCYGi/4exTVOO6G+hPXlLRog38fpEuKIijVOL9VdPfM4i/YcKgQpZSdwDXCNEGJnlI/yc8ApAa81Cdha4Hg3MLGSsQSFEOJ04HSA2bNns2TJEmbOnElnZyfpdJq5c+eyatUq2traCIVCdHd3M2vWLF5++WU6OjqYPXs2q1evdjroDXR10TJtGhkp6dq8mWhfH+vWrWPSpElks1l6e3uZO3cu27q7EakUvb29rF+/nrBpkOrrY8mSJc53xmIx2tvb2bhxI1OnTqVv7Vqy2SwZKUllsxhbuwl1d7N582amT59OT08PyWSSKYODZLNZNm3ZgplOkxwYIDTQT9Yy9VN9/axbsoS2tjbSiQSZSARdCDo3bqBr6VJmz57N+rfeQpgmW/r62NbVRbthkM1mWLZsGRO7uslms2xLJNi2fj29vb1MlSbZbJYtff1o1j11dHSQTCbp7+937kmkU2S2ZlmyZAkim6VnWy+dS5YQBrq7utAGBpCmwbKVq9CkZMv69WzwzElLSwuxWIzOzk4iAwNkQjp9W7eiS8kbr7zChB12IBQKMdjbS/PMGaSmdJBctYqJg4PO75Tq7CKbzRJubqa/u4s333yTadOmsem559AnTqQzFCIzYQKpLVtYsmQJkUiEjo6Oovdk/04b3lqBJk3Wd3WR6OtjApLMYIK+DevRm2KkoxF4801WrlxJorOLqKaxcs1ahGnQ072V1Z61l1q+HF1KNvf3I0yTZJca8/I1a4j39mKaJrNmzSJrGPR2dyEHBslkDdJZg6yRZeXy5UxvamLdunVEt3ZjmCarFv+PeXvuyapVq3z3FN+2DcM0WbJsGfPmzSMrJd2bN6P39Dhrr7+/n0T3VsLAkiVLiMfjtLS0OGuvc906stksKdPkrSVLnN9py7q1aFKybvUqsuFQwf2kJ5Ns7R+gx1p7q9auRZgmPRs2sGHJEianUuqeVq+hOZNWa3vjRgzTdPZT7j3Zv1NfVxdNkQhLliyhp6eHhQsX+u5pcHDQ+bx9T7VARYLTI4ziwNut11SgkmzaQnq4KHCsJpBSXg9cD7D//vvLhQsXAtDmab1qHwO34dO8efMcZ7P3/UEBkZYWIk1NtLZNoLW11fe+/Zm21laMrEFbWxttbW2siTUhohFmW+d6P2ML5dZMlpWhENF4M7HmZuLNzUyaNIlJkyb5zutbv55QKMSMWbPobmmBaJSIEIQsDTcsTef6qzSN5smTGIhEmDBhAlN22UXdZ9sEujWN6XPnMkPX6Vq8mJAeYqf58xnYsIFQKMTkmTOJzpzJzJkzGejpUd+5YD4t1j3lYuHChaxpbSWZzrDzwoUsE4KJkyYxeeFCVuo6Eye0MyigqaWVOXvtyXIhmNTaxqQCc9LR0cHKbJa2jg6a589nkxDstMMOhK35HQiHiMSbCYfCpLZtIx6PO5/vaY6TDoUIt7cjt21j/k47AdDc04O+887MnDmT7OTJaOmM7zuL3ZMNc2I7XUJjh512QovH6Xriv4SAaDZLaMpUWqdPp+/++5k7dy4bmpvJDvQzc8F81mg6E1qamelZe8l0mjVCMHOnndmsaejJBITDtE2fzixP3/JwPE5LNIppSmS8iWhTEyE9xNwd5hCx1t5GTSeraUxIp2hqasq7p86HHyYdi7HTbrupazY1MaGtlfb2dmdNTZo0ieVWcNL7eXvt0TaBLaEQTRMmsNA+BjTvtBNrhWDmtGnEC/yOUzo6eDOdpmPWTCZba2/h3nvzpqbREo4wd+FCti1bRkgPMX/HBfQuXcpAKMTUyZMR4XDBPej9ndZEo4holIULF7J+/fq8eyr0O9YCldDKCSHEMUKIW1D16b8HWoGzCF6rvhWldeZiIoU10RFDKFT4mSITSUS8yQrelEjpyPoT4IM0ofJFP0ukLzn+JF13StTsxHLIyeO0KphyCSnMZMLX5tYJZJmm2xq4AB9neR9nCCFN108l3Mohb8mlG/goFVVXZZ+2q8F3X2nLFC5AtOH6OFsdMglpGKRXrSIyf766j3jc8fMGhUPI65jqao1kt/agTWgjMmcO5sAARmenmndviWNOvyXHx2klgxt9/YhIhHAOgYqIRDBTKcv1E3JJNTxuIjtVK72ycOWMzGRzGqwVbjJnppKKqalQbmyRkkvHx1kkqm729YFponkT+0MhVXOfzE9HsrkTgmYNKKo7NaZie3Y4EDQd6QpgLXA/cBDwE2AnKeU7pZS/llL2BPy+V1F+zlzsDrwW8Bp1QXdOX2tQ6ULOZi7ji5Gm6fNxEoC30OaRFHZwqNj185pbqVYRdoTWF1U3skqYWfRfzvFEwk8P51mw9oL2+qWa9t6bjrO+SNPee1MKQtfIJJKeMXoZ4E23ckgoMotSwaE8H6cvPzXjMDXl5iTaaVdaW6vzEMhs2IBMp4nMn6fei8V8EfcgMBOD6mFjp1hZG9XYuhW9tc25dnrVKnWfusfHmeMPt32GuvWbYRiIaDRv3YloVN2f/SDWCvk40873FoKac1eoqIqnbN45ZLJWAC9fCDrBoQp9nHaDP93SAm34iD683LX2ngno51TpbWpMhfbscCGoxvkZ4G7gECnlzlLK70sp36ri++4GDhRCOB5wIcQ84J3We6MGXnPJgVNR0wTh4ulCABhZfwK8Vr6ULC84VKTSyMsmY5eomem0Gpem+ZPFs4aKvodCfmb0wYSvCsjb3sPMaQ0MSphP/PjHS1PKAeghYlY9tXVh9a+35NJmAo9GS+dxpqyGcXZde05wSEXnI3ks7K7G2eaQBKftiLqlcapOi5UJTplM5uS2WnNhGOhtrYRnzwZUG10MS8tzBF1OHqdtXcSaXLLnaCRv3YlI2Mrj9AeH/KTTal6MrVt9qVE2zFTSn7hegLXdV0pc4Ddx5jhXI7aDVUWsL8Oqvdc9GieAiMc9eZweRcDWYANG1m2aQiiyZ4cJQQXnDCnlF6SU/x3i990ArATuEkKcIIQ4HrgLWAP82j5JCDFXCJEVQnzX+2EhxOFCiI8A77YO7S+E+Ih1rKbYtGlT3jEnHSXepPg1Kyi5JBQ8HUlVeJSoNPLkvWHzfNqJ87GoL6VEmer5Jq05OOgTjM4Gl7KgxhkUQtNIJQbxJTWjSi6lkbVKSi3BGYsVT3/JWudGY56cT0/Xy0zaSejO1zgzqk7cTsNKJh3BGZk3Tw0rl4U8ABS5s+dhortanNY2gdDEiSAE2a5uJwHeFXS5UXVP/bjNjB6J5q07LRyxBKeVF6zna5xmKum2Zi6gdZqDg/6HZCiUl+pWVnDaLhbhD0d4Hx6F4AjOXI3T0+nS3y2hMo3TTKectK1Ce3a4EDQdqSYJUlLKAeBIYCnKR/oHYAVwpMX1aUMAeoHxfR/4MyqyD8q/+mfrVVOYBXws3gToQosv5wJ+H6dWOn0JPBpnOKw2ZVGN011oioDYdDQwLRL1m7R2PmE4lJPHmWOq2ya1YSjz1lNlUhFCOtLw+jjt62s+JhuwtKli6S92S1krAd4eM1jaSCarEukjkXwfZ9aaC4uJ3kwmSa1YQWj6dEeAaE1NyAr7cJu57UQ886NPaEOEw+gTJ5Lt7HQqwIprnO5c2D46EYvlrTsRiai5sPKCCyWwy2SKqO0mKODnlIODPt+0TU7iuzfPXBRqU2KmUvn+TXDHU8THWdRUj8VcH7OdjuT1cQatHspknAdPoT07XCjqTRVCvAV8SEr5ohBiBYWj4TaklHLHIF8opVwNnFjmnJUUiLRLKY8I8h21wGzL7PLCXlxavElpEiU4DaVhuNoGOAKlFHzdCPUS3QM9jeAcImPLBBaxWH7vd11T3JE5eZy+zWRvcNO02N+rI0wQeohoKOQx1T20cim/4NQi0aLNztw+NTE3D9W+L88DBiFU6wZPeacdOLLNajORJL1ipeODBMvHlkggLQYnM5VSgqlEgEEm/FR7Xr+hbkV6Q5MnYXQpwUlJH6enmsfm94xG8tad44oIWW2mbZeK11RPpYjsuBvpVauLaJwJX8WXCg7laMA+jTNfE5fpjC+v10E5H+fWHqCIj3PACtzZD1mvjzOgEDQ9pnqhPTtcKKVxPgL0ev5f6vVooQuMZaxevTrvmPRW1JQg4QAVlMFXcllGQ8VrvkXU9YssHud7QyEnWm8HALSov65bCfBQXmMxM5FAeMsnPRtS5vQbqgi6Rmpw0B/AAhCeyKytcZbwcbrJ5m5wyOFvdDTXkBud97UFsTVOuyZ6gMzq1Y6ZDpb/Vkrne1Z/9rN03XBDyVsrRu4MKtkeQO/oILul0xlDWR9njqmeu+5ENKpIPqzgUCGN00yl0JrihOfsUFhwDgwgvKxWIT1f4yxnqhfqcInXx1l4bRvbtiHiTflBpbhrqtvBIaFp7v0F1Di9CfCF9uxwoejjVUp5muf/p9ZlNKMI7TlPSHAXl2gq7+PEMN3Wu1iVOWXYkZyaYrs3TDmSDyFAaI7GqcWbVBTW21bXojcr5OP0+b10V3DaQZlqIPQQuhAeU931cdpBK29wqJiP0/Sk/ji0eNYxx6URiThzKjMZsH2yjr9XCbn0WyuQmQyROW5liS0AzUQCEYuRWbee3n/ez+TTT/eXynogEwn0KR3uvYa8GqeKjocmd5BaukwFtezgHRStVfcSnohoNG/diUgEc9sgMmYFhwpoZHZNf2TuXJKv5bNF5f3W4TDSMDB6e5GpFKEpU3wsUoVMdZlOo4ULmOqOj7OI4OzpQZ/Qnnfc6+N05kYI9wEepFuCYfn2rfkrtGeHC0HTkb4rhChIPSKEmJEbxBlvSC1fTucvf+ma6k3l8zilYfiCB0GYrf0tDrSiprqjvQxuAQyPxhm2THWPMDLMgvmOysfp7Ubpmuoy4Y8eVwKHiNYJDnnSkTyNtdS/pXycNtt61ENBZ2mcBbo2enk97XJH+x6SbywBIOIpybNNV3MwocaQzWJ0d5N48aWi92Ym/cEhQgVM9Y4OjO5uZfqHQ55a7hzB6XE32PcncuvAsaPqGU9wKL9k0kyrmv7wzFlkN23Ki0jnPyTV2t30w0tZf/631fW8LFIFUsS8NeG+8QXwcertE/KOa01Njo/T57PX3XVYDrl9neqJoFH17wHFHAgzrffHFbwd8wYef5ytf7yNnjvvBKz67lCZ5muG4WobWCZruUihvZke+zFi44vIbJGYnGkAEnHNPoj//RKHyNgKNNjmpzRNpZloep6gNxOD/tQab3AolfILiEqghzAymXxTXRN5proWiRbN4zQ9deEiHFadLm2N01N7XdBUz/hN9dQSxYAYmevSvjpEE8kEZr8bl+x/+OGit6aCQ56aa1vbCoUcU1ifPAmkxOjuLs0AX8hUj0bzOjX6gkMhPc9naudfimhECUeLLNr5HinVQzLu8WeHwxjdWxl46imyW7aoeytjqpvpwsEhOz2pqI+zqMYZK5iO5MxXEI0zJ9g4GrtcliqJnAgE76Q1RjBnjrvJ7Ba2iWeeBSxTPRQunY5kmm5bCrDo38ponOk0GCnEq39GbF0Oq/4HnW/mn2cvUoHLlpNKWZvQQ/rrsChZrDg2a5G12bRC6UimVIGjWOWpSKA0kLCV7O4O0kpHyuF0zNOOvffoCQ4BaNGYq3F6THVH4/QKTjvH0xacy5ahT5zoaIWAj2jCFpwiFqP/kUeKd67MTUeyAiN6W5uTphPqmKLeNE31vv375Gqcnk3v9GmPRH3rDlTCuZPHqXsqkSwtzZ4/LRbLZx2y59EwctKRdNJvvaW07L5eJVw9xQCFTXU3eu1FuXbDRk9PXmAILGq5TNZivfIUixRgfyqG3KT83LkbThQVnEKII4QQFwshLrYOnWH/7XldAfwcVRE0rrB27Vrn/zKdxssr6ZrqJTTIbE4CvB4qn46UyUCqH6FJmDBDCZ8lBTibpWpJIb6/DXH41wErXSSsWlLk+gIJ6crks0x/x1frDRh4fHFD0zg1MskkuXmcCOGyiDvpSJGiprqjcdqkwbGYq3GWM9UtH6fDfJ9K+cx0dV27700Co19xYLYeeSTG1q0kXnyx8JhSSd/Dxo6qO9U/QKhjsvu+R+OUhdiRQqpXjtP8LRr1rTtQwtRLK5ebF+q6NGKeLAKPEPS4l9xBeh7omSwymfSVnxY11Qu5Epy+V4XXdnprV0FT3XlwJa0qM8visd1bq7et4tA/Hcpfl/214HXtMYH7IM6du+FEqeLOw4ELrP9LCne5TKNKJb9c43GNODSP0JPpDFpbK01778PAk08q87FIva/zmbySS61s6wxlbsdh348hotOQ+ptwyFfzz8sagAkXTYBlzcBOqjxRF1Ztc273QL+P0+WVzK8ckoZhaZzVB4cwTUdw+kou7TxY21SPRor2HHLqwh2NM+rWNjs9dEII2xLOMdUJh3zCPzIvR3DaPk6PwGg99hj6HniAwaeeIr5okX88jpZegNzZo8mGJnsFpyeYUyCq7nzeSkfSYlHfugPr4WK10hWhfD5Ob76rU9PvDfRYmqRdE6/GZWnKEyeqaqO+vnwtNQfFfJyAlTqX7+P871v/gW0beWvwDd6T8573wYU03cR3a71s2LaWnlQPr3W9xod2/lDB780VnLlzN5wo+k1WWaUmpdRQ9taB9t+eV0xK+TYp5ZN1G3GdMG3aNOf/Mqm6LU47/zxm/fQnnsqeUlH1HJIPu8KnBGQmDeEmxAd+qoRuahD+dSGsyple0/CkR0qQKhIunrkBseohN1LtlHD6o+refFR3gNZSsOrxRbXBoZCOLsjXODXhClMnOBQtoXHaqV+WGevVOO22E15TPV3Ix+neQ57GaWujiQSmxVivT5qEPkWlE+WNp0QfJq8LQLeqh5z3tSJRdQ8pi3c+vOvOvoaZSTvpbbnN1pzsg2jUo3F6ktkHlTadmwAP0PZeJc7Mvj6rKiqfTMUZbyqVl1LkoEj58cSM4iSYMGUWz216jtuW3Oa85wbnBixT3cq+sDTOA6Yu4sVPvcj57zi/8HfiutDs+cudu+FE0MohTUr51HAPZjRh3TqXHVxmVCc9vbWV+NveBqinduk8TqOydKSBTuR950Oq12rjGkamB+G/P4el/r460nBNGwTKdE8lETKF1v16PuuMrvvqk335qN7xgUpHSiZ8+YoVQQ9hpDOuj9Pb5dL+rognj7Ocxhnzapy5eZxeU93fLkRVX+nO++Ec/5ftpjAHXR+n3tJCqH0iRk8+UZdr8uZrnPqENt8x3aYz0z1R9UIapycNSd1r1LfuwBIKli9QhHT3AWfkmupRT8DLk47mPCRdjTPUMZnI3LnEDzhAXaq3l+xgP13hFBkzUzw45ElH+seKf/CnJX+iM9HJ1kwv6XR+3f98Opgcm8TuC97BNx79Bj9++sdsGdxizaPHH2saCKGRMlK81P2y9YUmmtDQhEYym+S1rnwOIKeIwBpX7twNJyrmYRJCTAXy1BGrImjcwMvlZ6bTeY5xUbZ1Rvl0pC3XXYdMpph67tdg21pkuBUQyjemaRCKw8f/CDsc6PucNLJ5Gqcyd0DMOQC5sVulFW14BZDKVA8VMNW9Pk5PorYKglQfHBJSFmRHcs7xalrZrGWG+peiLRCcVB1PRZRbYRV2opZ5UXXLHBXxJuS2DJG583zXd5LjkwlIqatozc3o7e1kNufXPDtuBl87EcvlkMPjGZo8GaOry2GBUiz9+WxEjssi5kbVvesO3FQbmUhaGqc/QdyXfeAEvFzBaVg9jBxBJSUdX/gCiVM/SXKt2rJmfz9bt25kdXYLc0UTHQV60cucPXDjyzeybOsyXul8hXdme1i3bjGzrOvfuexOPrDjBzC29iAQRCd2cN7c84jqUSY3TeaRNY/QufEJ9katRaUIaJz977PZ+vyTXJCN8fiqR3jnwh2JhWKc/dDZvLzlZW55zy3s1L4Tf3j9D+w2eTd2s343+0GcO3fDiUCCUyh14QeohmrtRU4rnDU8RpH11gIX8O+IcBkfZ07JpU1DZ5f4ASRffsUVvjP3RR70FXjrD+rckK6yNBa+DwY6IZuGkDUGU4ImvV8GUiI0iZg4E4wNyBfugNvOhOQOrqlufZft9xK+PE6rV3wyAVIOQePMiSJ7+TjtuQjbmpbbGiJXcJrJlPJheoRLttNqO2xXWHkqWQqlI6nPNSHTGUJTp/iuL6JREAKZSCiuTF1HNDWhT5xIcunSvNtymtsV4CjVW3MEZ8dkUktxf39PB1FnjJ5SwZQuSWQTZMOab92pe7S6gSYSvmCTq3Fa2nc05kuxcr7H85C88eUb6Up0ceisQ/nqf77KmTM+yqEojbPZDLFg2kLMdRu4/eVbeVfXEewx2WWA9FboAFx5xJU8t+k5jpt3HK+1PsGUFkUUvHjDYi568iJe3PIiX+8/RN1++wSO2WFPdR0pueKZK9DeWsMVtGEmkry46Xl2IMvHdv0YSzbHSGYf5tcv/Io9jvgwM8Mzed/896ELnR1ad0DXdB5f9zhXPHMF/5h7hTVHSqDnzt1wIqg39asoQo2foozDS1GCdAWwHNW9ctyg7z//Yds3v+VEW2WqgGO8jMYpTcM1q8ATtXY3kDno6fHy1A2wcYmrKYVUPxse+gFcsSOs+Z97LSOLCMcg3Ox+haYjZu+LtuxuGNyKvON05VLMpkDTLMFpa5z5Pk57QxYySSuBsDVrO2dUeFwK9jkROzhk+dQKlvgl/X1qPGlWXoKMgulIWa/gjBGZMyef1UcIlYQ9mMAcGEBrbkYIoQImPT151oHDGOXt1tjcjIjFCHta+gLokzuc8QG+nvXO9TzC/bmtL9OX6eevq/5Obw4tnOYRnL1GP7csuRWJ+2ByNPNY1PVRFoiqp2I6ty25jftW3Mfkpsm0Rlo9HTb70FNZpk2eSyTeQnKwl+c3Pe8fb47yMLdtLh/a+UPEw3FmH3Q02aeew0wkmNc2j4/t8jGlcRZgRhJCcM6ic/j24d9HIFi58XWe3fA0GxKbOHrO0XxunzNoi7TxiV1OYmaLqrn50M4f4pdH/5J4WD3oz9rvLL6wzxdo11UbDHs95c7dcCKo4DwNuBj4kfX3X6WU3wN2A9YB9UugqgPMbdvQV650fYWpVF53v3I+TgwT8fDFKvKd6HHNdi8dWH+/8tdlEvDP85FvPOBuNltLmazaPrDaDRDJrAGxVvjOevjIbyDUBHoUsf+nEW/7BETimIecj4xPVyZ87xp13UzWqgzyN2pTf6il4PRbH4LGqXsfKoV8nDlBkUKRdTOnXl5riilzFb9vy9cJ0p6ftBuxbn33u5lwwvEFh2rXS5v9/U63SX1iO2SzvqR4ezzgnxe9pZn5d/yZliOOUOdIk3uW38O/+5+1TrDY9Qs03vMK90VzDiKqR3jH3HfmNRxzhFU2y4NrH+b6V3+DIbNOsMlbmprbdhfc3zPeMok7j7+Ta468hl0n7cqDH3mQT+9/Bug6Rm+fKoiIxWhr7eCE2e/hk7t/0jPWrOoyENa5/Y3b+cPrf/CNccIH3o85MMCye2+jLdrGhQddyAHTD1DMSLqOltPn56g5R7H//EMQwKxQB0fMOpypzdMtt4YgrIU4bs4xvs9onvWzz5R9+OK+X3QeoPes/gcpI1XXZm1BBecC4BkppYHqL9QEIKXMAFejiI7HDUQ0huEh9FVmVa7g1IuWXDoVO8Iypwe7CtJlmYODKjiy/nkwM8iWma7JagufOQepv1f91/sFiEwf/O2LiKV/ByMN6X7EG3cjFh4N0TbknifDAZ8HPYLAcK+b6MX8z9Uq0T5WQOO0fWJV+zhDGN6umwV9nPmmei7MwUG/WRyNOQEgXx5nJF/jtNnhASZ98hQmfOADBcdqU5uZ/f3ozWpz6xNVz0Bjqz9A5ET5czRxfcIEJ5VLIPjTkj/x38QrZKXhVhYV8nGmXcHZHJ/AhMgEdpy6G6tySDq8fsX9ZizihF0+TEi4UWx7TjSrNFUC67Ysdz5jDAxgSAMt3sSE6AT2nqIY/IUQSsNubaGnax2vr3uBN5Nr0GIxmqWau8HMIBc/eTF9/YpZPROCq569il+++EtShmslxPbem21T4jx980/4y9K/uN/d06PmJ0fbB/UAkoAx0M/81jnEo5b2mJM1UAoylSJppGhubieqR/PmbjgRVHBuww0IrQd29bwXonAfoTELEbP8X5YZpGqBc4JDBai5HFi12kIATZNgwmxH43Ty70zTNdVXL1bH4tPASqoWdl/19jnQNBE2u+QNMmtAZgBe+AO8+hdI90MmgVi32Jf0LXd5L8Qnwcw9nWRtOdirUlTS/pJL26TOWJFJvUpHu4r8Cre6x5uOZEFzTPXiLYLNRE59dSyanwAf8UbVvT7O/GBTIWhNTchEEmOg39GKQkUEp0zma5y5SGQTfPeg7/KVoy8iJHTnNxcht2e9O0Yl3LeltrEpsxWJEpJZLUvaUA+SrkSXj3F9x0m78K2DVHqONN3gUNJIcfmLV2LqGtuMfv780h94tfNVsmaWv7x4K5vNbSSMfKq4R9c+ygbRR/eWNZBMkYzYFVpqnn/10q/489I/88Cy+wCIx9u59JBLue19txHVPW4UIZjyoRPZcSPE17vzVqxqCOChzY+zJbGFV9c9p3zM9sOnAlo5mckQ06Mcu/P7AIgUS5caBgQVnM/j9j2/H/i+EOJkIcRHgcuA54ZjcCMFLaoSkV0as0wBH2cIpCz4ZJSminIjJMw9GITmabJlLfhBFYSRqZTjv5Txqa4ZGwop804IZa73b4SUFRwxsogJM+Ez/0Ls+h6VNN80CXHY13yNzWQmC9kU4vGrEFgCe8UTmClV2+wnWlZLYfC55yEUIrZ7lW3uNR1N01wN0M5p9Pp7c0z1gsS5OcQUWjSGTCYVQ72vcsiuVfea6mkfV2Yx2O0zzP4BJ8/R1jizuRpnwvUlFsPJfz+Zsx86m9nz9vTdH5peIKqugkOPrH2ES1+4gkR2kGe7X+b0Z07nHytU+tkX//1Fvv2/7yKRSrCGQphCkDCS3Pemqigzk0kS2QR3rf4Hr3W9RrS5jbmR6UyMTSSkhZihTYJ4E4PZfNLmW167hRXGZpqSJjtGZ7HHrLf5qP72n7Y/l7zzEo6Z+S7nft41513s0LpD3rVmH/8xJrZM4aA33GPGtm15LTNszJ04n0wItm3brDJQnAesHVwsH+jJTYDv6OgodXpNETQd6WqUuQ6K0ONtKPZ2gFXA2bUd1shCRGOYhuE8eQuVm3lNijwasmwWpJWkvuReWPJ3fE22nrsFc8Na59oym0K0TEf2xZ3gEJquCBtME3GUxaGie6Lq4Rjs8HbYfwDuuQiQiJm7uY3N0ilL+KYQqx5BtO0NZhZ55xeRYg80T4WLurYaX2rpUmK77VZ95VBIV3NnMzvlRNWdFB1cM7SQqS4HE+hT3Ei4iLnn+gSndS1b45RWi9tiVS5eaE1xjJ4eFRyyNE5bQ7IJeJ3xWKZ6MY1TSsnU+FQMaRDZeWfEFz/F6p3bVGfCQlF1q3Koo6mD2fsegr6+j+m77oux0aA/008ym2RafBoTWiVZcw1bUz109r3FgaEQiUyC7oEtZM0spFK0Rdu4+fhfs3vHHqxo6+C9MxYx3QqsLGrbg8zUGB1N+ULlqiOuYsmdZzAhHSKVTBFraScV20S2S7lrDpt9GABpq5Sx1JzqEyYQmz4TrcudN6Onh+iOhfnNd5m4C7JjPrtO2FvlmuZqnAF6DpmefF6A9evXF2zxPBwIJDillA94/r9RCPF2YEcgDrxu+TrHDezSNyfhukDbAEeDzGQg5z0ppQqK2EpWqhcRUpoMhgF3fwmzVwesFI2P347QBfK7F3k0To+GOv9QtZDs+mQji+h6Ay6eDOJg6NuoPvPiHxDv+QZgke42NUG4GY7/GcJog8xfkQaY0alo6U3wzG9hf8s9bWuEpknTvvtUPXdCtzROm9AjR5PwzqOdRlKoNtocHPQRLTsuiGTST79nayi2hmu7SQKa6pkN6/3BIUtDMnKYdtx0pMIPFCEENxyriJAHMgN8KP0z9nhxD/60w58KVo3ZpvrBMw/m4I8cDFbXrL8e81dmTlNC7+dH/pzBqa/w5s3qN9J1lY7UGmlhXsscQloIM5UiFIuzU4dKHRJNMV8CPImkP1/Xg9ZIKzvMXKisDOuzhaq53NbApVupaG2tmH1uUM3Y1lNU4wSItkxAJJNWOpi1TsqQhvjH5Rec9dQ4qyrulApvSilfGm9CE5QmJJFuwnWhcrNSTuxsFrQQYtGn1d/JXj+zdbgZM24lIhgZ5LO3QbJXEYPYG957/eUPwY/mwuNXWZ8xEcJUWm3CLQ8Uze2+xmYya5XpzdoLNr0E6QGkFJhNMxCJDfDCH93PeqqcmvapXnBqLS1q7vr6rAN+H6ePNT1Wysfp5wv1uyAyTpsFIYQq+bNMdUeABuiXpDXFMAcGMQcG0Fvc4IQ2oS3fx5lKOtVINhLZBIlsfrJ4c7iZj+3yMY6ee7S6ppZfNeZNR/Ldd8avmeqxGFE9qoJHk3dBCEE4HOPgaaooQiZTPveBakLnj6oXE5wAWmsbRleX+n+sqSArv8NCVKZ5n97S4vzu0jQxe/sKEnzYEE0xxYdqGk6turfbajk4RCnWXklW2HxvKCjFjnRYJa+6jbgOENGYoldLpRyfmsjpweMEewo8GRUzdRLeuEcdSG5zTfXUIGQGMLvWqTSkzCDyrq9C51JVoWQtAqcHUNaAeAdEWlztyjRw+B3bZrhjap/uBlySSV83TLHWCkAtOBZTRtDiLbDuWTU2cMaHEMT22qvaqUNraUWa0m1Tm5OO5BUWjo+zWFTd6+P09Fa3/YPOe2GXLMRLEFwOoqlJaZZS+mq5C5VdmomkryvoP1b8g8P+dBj3vaUCJ690vsKzm54lmVWb98KDLuRze31Onaz78zg7E53IdIZt5gAf/NsHeaPbdQz29/dz25Lb2OvmvXij+w1EJIKGIKpH3GCTh43ITCV9a1OLxXyEHebgQEnBaTPXg8rr1WIlNM4yglNrbcOwBKc5MKDm1cMclXe+zQLvDQ457U7KN9LzFhGAmrt6oZTG+R/g4QAv+7xxAy0WRdd1TK9ZmFc5ZBO4FhGcRhqRUE9yZapbgmmwBwAzKyAzCJE48h1fgpn7Oi0fwGuqZ2HG3vC11+DQc9WxrIEQBiAQrS6xgWib7iNqcKp39BDiiK9DUzvykK+riPXEaUr4rnxcfdbSOKM77eRoX9VAn9CGrusYPZZA9nS5hBxT3dGOc/qiG4ZqBxEvpHEmfcxC9jXt38k144NonHGn+ktrcTe4PnFifnAo6e8KumDCAtqibRhSzfGNL9/Iqf88lY0DG/O+Z1NyCy9sfJ7ORCfbUts49o5j2dizhrcGV7N823Je7nzZOXfu3Lms7VM+xfX96/3z5bFG7Np3mUz5ymNVEzpvrXqitMbpuW+tqamgqZ5LplEMequrcRrb1INTL+Fz1OJxVYzhCQ7p7cpqymzMn8dcqKR893euZx5nKUfQu+o2ilEGEVN5nDKV9vWG8Z1jC7ZCvhjDgEgL4p1nwV4dKojzhlpIMjkArTMx5SDEJoAWwtz3NAg3ITNZt5rHG0wCeOsR2PIGvON0K2pvqGh6s4fGrH2Gz29oR3JFSFfHQzGk1qQ2U8ds4ClY+YQq67QW7lD8m6A2omH1swGP6WXHiHw+TisinrtRPf3rnet6zHovQQZg9Va3TfXgGqdXEHpp1/SJE0ktX+47N5dqb5eJu/DgRx5EWP2V9pu6nwr0tKpGCV2JLu5YegczWmagpbtYvTXFO/UIWwa3sMfkPYjIZewxbV++f/CJvHf+e53rrlq1inMWncP7F7yf3SbvRra72x2EwyDkRumVG8mTGhRrykmAH/DdWy68GqdoKmaqF1YecqG1tGL09yti5F6rLXApwdnURGbjBmR7u/tgFYLQ9GlkAwtOd0yrVq1i4cKFZT9XC5Rq1vZIXUYwCqHZdcyppJu/V8zHWVDjtNKIdng7HHic+vzyR9WbrTPg3Ncx//T/4NWfwmAX8qW/wvyvYSaTTjqMk05jC85HfgyrHoe9PqKe0FMXwruPR6w3lJDVw4j2mU6Fk5lrqtt5nJm0MoN32h3mvBMmzVe3M2kSWjxO8yGHDGnu9NYWEAKj19Y4XSJjdV8eE9s21XPa0ZoFGH1ETnAo1+TP0ziDCE6PYPZq2TZPpW9MHlN9MDPolP+Z0uS0f57G6r7V/OvEfxHSQs7xa1+4lnfMeAff6diTWa06t71+G1sSW/j9e3/PsiuOJB5v5cM7f9j3PbFYjJAWYrfJuzn35tynXX3midIr0mm/qe6jlRso7+N0/t8UVw+oHOIVJ9BXoFmb71ptreqziQRGb591rLiPU4urh3huY8Pw9BlkNgQTnN4GcrFqO7NWgYrYkYQQHcCBwGTgHilltxAiBqSllOUzVscKQiG0kOpxU8wxXsrHiWnAQCfirjNgxWyYsivMUJFRuXUdLFmK+ebjkOhRx7DM/qTbJC2vTerkHZXg7FquUpQmzYFFnwbteWhWaTsiFnf688hEwjXVQ26iONmsIoxomwSn3ecMWW9vZ8E//6GCLUYG9PKCpxBEUxN6JIK5zfad+vM4fQKvSDpSISo0+1w7OOQz1T1co24de4A8Tp/G2cxLW17igVUP8P6oROvr8wloRbUXI2NmOOL2I3jbtLfxq6N/hSY05k+YT1gP05XsYnrzdAA6mjq44vArWDhxIdqfL2VKbAL3vHUPWwa3cPa+Z1tumXxBlNupUfOZ6nYJZ8jNsEgm/ZwD3tLUTMbqflpC42x1Hxh2l1SwMkkcwRnUVFfaq9HX7zw4vRptLkST1dveopWzEZ4+jZTVYK8UZMavcY7GLpfCapOxFrgb+C0wz3r7LuA7wzK6EYIQAjOkK7PQXjS5gjNcQuPMWsGbWCtseZ29Bp7icw+ejilN5Jqn4U8nY3a5T1Q5cRfA0h5sR783OARKcAJ0vak0zrcegjtPR6R6VDpS30aX2CIeVwn2tqmua+4myGRcf90b/4C7v+SmMwkBa5+Fny6ErSurnjsjGnV8XE65XSEfZyik/HU5Pk5vG2YbbkVUsoipbkXTKwgO+Uz11lYeWPUAN716E1siqhrnW/eehWELqIQid+5KdLFT+05MbZrqfPaCAy/gxmNvdISmfd/vnvduh1ZOGCY/OuxH/PPEfzJBixcd48ZcE9V7jh3A83QTMJNJxz2j7inuFG4UbJGSOwcejVNEY861vOa6ozyUKcO1c2HN/j7H11naVPcEhzzZCqHpMzB6tpUNEOUWpuTN3TAiaDrS+agk94uBd4Cveds9wPtrPK4RR6gpjkwlPX1ycoJDegkfZ0pFFEW8HS6wughqAhMJExfA4edhxmcrmjg9jGmxvMhEwtU4vcEhcMk+uperGvnUNuh+SwlnISASdzaZ1tysyjm9zdoczSmpWkDEmxRxyHO3wPoX3LEvuVf5Tze+DJnq0jvC7RPcqHqJdCSgYIvggqa6Jx2Jgqa6+p1yk6KBvHa5NmzBmTGzEG/ic3t9jp8e/lN2mb8/KSPFK8uf5MUtLyqfXTKJFmtievN0/vi+P/L9g7/vXMc2z3OxZXALH/jrB3hl66tI02SPyXswMTYR0yEpyf/c1KlTfX8LIVzCYzvjwpMXKlM5waGmmDKXM5mC85iLQlF1+7o2HPb7chqnJSSN3l7nwZlL8OGFFo8r8pBk0tefKzxdBTwzG/N5Ub1Q5Mru75w7d8OJoILzc8DFUspLyS+vfBOVDD+uYOaY6nmNqkrkccp+JSxpaoctr/OrPc/mG+/4FiGhI9vnw7vOx9RaIT4Z4pNVNYzdssLWOPNM9Z0AAYmtYErEvh+H0/6BiDZDyzSItrkaZ1Mcc2DArd7xMKHbbSFEUxPs9yn4zP0qwd7G+ufVd6x5Cq7dH7ZWTpxgxpo8Pk7bVC8sOLVI1FcuCZ4+OUXTkXIEp7dnfAGN88HVD/Luv7zbIaAwTIObX70ZEWuiPzPA1tRWnu59hQnRCRw771hap8ykJdzMz952CXt17MUFT1zA1p4Nfvb3AsQVuVjXvw6JJBaJ+/MSs8WDLYVSahzB6QkO2XmhZirp0PMB/u6dDolxKY0zJ6ruZGV4IvMBTXU7Qm/2D2D09aK1tJQsRLBdDMZAf57GCZDdVFqDzO28OVrSkbyYBSwu8l4aaC7y3piFGQqpTWqzz+RVDtmmbwGNs98STvF2uPMM3nnveew5xcqNfPHP8MeTMLs3Oi0XZCqtNrxheDTOHFfA5J3hOxvhfT9VEdXkVujb4JpvuMJCa262TCBX47TZynvuuAOEUC1AOnaCHd7hapamqXI7W6ZDKAb9m9wyzwpgxGJgzcvqvjX89JmfsjGxWY0ldx4LRHFLBYfMRL7gJBxyNE17vu5b/S9H09w8uBlTmkSse3l07aP85Jmf8NCWJ4joEUJhi1nIOl+fOBFd6EzLxFnTt4YHVj1AX18nMhrl7uV3s7zHH3Evhn2m7MNN776JnScv9PF7lgpgDRYwTx3hYAeHNM0li0nmBodcFni3UVvx7alFo+o3EQIRjXqyMjy1/6l8Lb4QbH+p2deLua1XBYtKwGHh7x9wOwXg0TjLBIhyfZyF5m64EFRwrsOuD8zHPihC43GF2IQ2TK+Ps4jgLNQWVTZPU6lGOx8FsTakNEln+xUB7eY3YOk/MRMJ9ImKgUimU84T3tkEuRUUmgbdy1VaUmoQsewf8OD3fRU/Tre/eFyZ6rbQ1Twa58aNtL77OFVDLCX8dFf4japwoXMppHph9v7wrm/Dqfepv/91ASxzqm7LonW6m1vamezipldvYt3A+sLzGI3m+zgLtLR1U5eSDiXbMxuf4apnr+Ifax9gW3+XNZdpTCQ3L/0D1790PQCn7HYK9594Px/YUdHLTW+ezlFzjmL21J2IaGGmTJnLHUvv4D13vocN/Rt81HIL2hfw62N+zXR9Etmw4DuPf4cvPxSsqasQgkXTFqHpIZ/GKQu4E2wUykV0TXUPv6fHVNdy8jgBZGIwkKkOoLW1qXJLTStoqst0WnUNzeVkKHAdsIJDfX3oJSLq4NGO+/vxkn7rkyZBOBRM4xyhPM6ggvPPwHeFEO/0HJNCiF2Ac4E/1XxkI4ykYSKTKde/k1s14amptYklHETaVLfKmXvRGW1m7/lzOOXhM1VVSdKqrEhmHOo2mU47aU92EMRO4PY1+brjM/CHjyCzaeVljjT7NU673WzcMtVtH2c45PjTRCTC5M9aFS1CQNss5StN9UHvWkVhN/sAK53qAOhdD/+9Bt76T+C56/MIif9uWswB0w9g9ykWY1AZH+dfl/2VVZuWIJHcvvpu9zwhELEYL6x5ijc7l5DWTL72n6/x21d+C+Ewhs0Ob/0eB87xp1U5ZCBSssvEXbj6XVez52zVAlhrbkYTGhkzw9T4VKWhhUNO9dC+E/dEZA3MaJh9p+zL2ftVyGmj6z6XTrGiCqAgp6QjHOyHqa4js4YipU6nfZVDXlPb6XDp7WZaaHitrY4572Yv+E11rUwqkvqeOAihgkO9vb5+84XPV5qwTKX8jQ01jfC06WV9nDLl93HWk48zaDrSRcDBwKMoNiRQwnQH4Eng8pqPbIShx5swU8niUXVbsGUNtt52G71/v495f7hVHXv5ThjshE2v0htpggyYmtq8MtkHETAGU0QmtgPK+Z6rceYFhwD2/YRKYXr2f+oBHWl2NU67wRt2RUbC9fdpGlpcpSq1n3QS4WkeJ/r0PWH9c7DpNdjpaPjmCkWMbKNNEU7Qt0H9m03Bsn/Bru/1CW0vIhMnYgISeHz9f4lP2pN4uJlt5AsLzUNQPJgZ5Lv//S6fXzaFd2YGuOylKzlwxyNYMGGB8xus7XyL5r5NdJDiE7t9gqyZ5QOrtpJ49RU195kMutD4+oHfIjp/vu+7XtzyIt9/8vucsvAUTtzlRIfpSGtp4YrDryBrZtGte9IntDsMSXagq23yTH7/3t8XvOdSUCWSBQRnAf9fvIB2qDkap90dQGmcTimkLzhklywmgmucra0eyyq/mktm8psVFoLQNLTmZozePozeXkIzppc835dGJfw6XHjGdDIbN5T8vMxkfGmCheZuuBBI45RSJoAjgFOB/wIPAk8DpwNHSykL93gdwwjHm63KIX8LUhtOt8FshsyqVWRWr8awnNNyoBvMLELXmN80jadWruG2Rd8mpkeRyX6ItmEmBh3SXJlKu9UytnlaiJfwnV+Bo7+ntBchVeWQ3Z7Bm1juaJyWthoKocVizL3tNiZ/7rP+G52uGMFZ+ZiKsK99GkKeTdJqLX4rZYlHr4D/90l48KKicxed5FYz/fjwH3PBgRe46Ui5Gmc0iplKk16zhsGH/sOFB17IorY9CDe38Ok9TiWm+5O7j5l+OLu17syUtumcuc+ZnL3f2SqqbtPKFfm9ANqj7SzbuswpcbT9yTYzkjc6rrdPcBiSnN451u9VMXQ9sI+zpUAU2hZm7kNSaZxOh0uP8HBZpDyCs4SPEyA8cyYhKyLtpSV0xlugWWExKIYkJTjLmeq+1i05boDQtOlky2mcOeMqNHfDhcAJ8FbbjN9bLwdCiKgQ4iwp5c9qPbiRRNI0aEomi1JquT5Ow2nBmlm/Hn2XXWDfT0LLSzBrH8ScI2l6xxnoPZbGMXVP5M5tyPteV1HIcEiVR+a4BAq2EHjtLnj5DmSiD9EMROJu2waP9qLF4yoBPp1WEXXLTPVpmjYWvEsFgJ67BXpWwYx94IxH3fejbYqarlf5KFn7tPr3qRvg2EsKzl2fYRBCeRPmtc/nH1uX8OCS2zjGFAVM9QjmwACdv/wVA08+yUcffIDN0RUMtK3j6wd83X9uLIpIZ4gT8V0nqRkMDPYwkBlAZrMMZgd5qvNZDslpoja3bS7XHXUdk2NKsAtdR8RiBWvzQ1bTNvAKzvaC91sOqudQMFN98+bN+S2C7fMckg9FGuJaQwWi6smkW0jQVNpUn/rVrziCvZCpbibzaRWLQW9pxejtVQ3gJhTP4cwdl9dXD0rjNLq7MVOpoqxMuSQfheZuuBA0Ab5D5ORfCCGahBDnAiuBK4dhbCOK5okTreBQ4ag6nsohs98VnABy0xIwMwg9hNkyjWRTOy90v0rGzCLfdhrmcT9V12xuVuk46XyNM7cNLABdy+H1u5GGQOz/SdjnE67G6RmfXZtsDvSXdejTsRN86i74xO3wgZ/BgWf53xdCEZC0WUIoYgmZbKJonuekHTwM4ZpGSAuRMpKY0iygcUYwtm5lcPFiyGYVsXAin5ji4dUPsyq5gYH+rSqq3r0UnlDP6me7XmBL7wZe7nyZvoFu+jMD/PHN2wuO7bDZh7FHh9v2VmtpyeuLDqqSKmv5OO3yy2JtIMrCEwWH0uk906fnm7d5waGQav7m+sULmOqJBGZPJ0IvHw3Xmpsdf6RTOZSsUuNsbVUmdhlmJMCfmO91+6T6CaVUvLlUzbqZ9gv0QnM3XCiqcQohosCPgc+imrNtE0J8R0r5SyHEJ4ErgGkok/1T9RhsPZGSoCVL+DjDro/T7oiY3WD5ZP77CxjoQeg6//rPBXxjzb1M3ia5IqPDc3/AjKwB1IK103Fyg0OOYPYGh1qmIU0wB5Pos3aGthmI1BbfeMD1aRm9fRAqIzhBtfcAmFqEIMFTmsnHblGM9ju8XbHQF8AAKq1nIDvIV/9zDmd+6FLesfdn2fbGHXn5sFokSnazSlXqzwzwi4cu5UMDSgAs3bqU61+6nsNnH85zm59jfmoDUxJziKYSsPwBeOBOWHQq8ybvDNoK2pumEjbfZEKkjZP3+r/y9w3M+P5Fjpnqhd6er3GGqjTVlU/S/R1tl04hE7qnpyevdNBtwWEHh0JWBZhtpXi7gdpR9QTZxX9AS21TVWAT5wUaq0NLmGuq5+Yxg7JCwnGVr2xBb20l+dJL6v9l2Nh9D0dbLfvnt2HxdYS7wmDsTGbjJiIFouVSSshkfVVTheZuuFBK4/wu8CWUT/MK4AHgZ0KIa4BbUA3cTpBSvsPLED9ekNUEZiqp8gN1Pc+R7/Vx2oIzs14JTplOKE0tFKKpdQbzZYgJkWZiehj5xv2Yr/4LUAvH9s8VCw75Omm2TMVIa5DuQ3/k2/DKna7v0GuqWxvS6N3mEkMMBetfgKd/A32bYMOLMPedyg+6rkCrqZ41RNf+W7XpkCZr+9fQ+to9bq06Gac5HXhzFHVSRpKX33jMYS2XUnL/yvt5bO1jfOuAb7Fg2m60mlHkwFaEJp2xze3YiVatiflt8whLjage5Z1zD1fvS1my8VfT3nsT9moqg92QTaO3tyMHE5iplKKY07SCmmkgmGlk11vQox6Y5kAR36OUBcl4bTeRExyygk12M0GvUHMT4JOkE61E2oTKyQ0ILyeAM6x0Ot/iGuyG6w6E373XF8DUWlsdV0RZjTMScdevpkP/Flj8CwBCTQak+52Hai4K+YlHBZExcBLwCynlsVLK86SUJwFnAmehhOjeUsp76jHIkcDEadNVH/JEoqCZ4vVxmgO24LT8gOkECA2h6xx+wJe5+9Tn+ctH/k4s1ATv/Brmbh8DVFBCRCOqJj5X47S1C++mtwWnBH36fGie4pjiPlPd3jy9feVN9SB45S/w96/BqifghnfBn06Gq/eGP51CXm+Y1+9m2rIbwEjTEm7h9n6d+f/5Cdltq8mYWYylf4ffHgePXOEbd8vhhzMxNomvLfiMamXR+xa7PHUzf3j3zVx26GXEQjEWTF2otHM9jphiFautf87ZPMs2v86/lt2HxGqdkR6Em94Hr96pUq6evTl/vF70boCr94I/n+rmcvb0uG1utQCerQ0v5eX2inVPq6KIOxTRi/2gdcoRN7wINxwFD11SOo/T015CenpieenuRDgMuo7Zt5X0QJTIe7+kiLAD9PABO20r6/RYAru0MWcPPH+rKvvd/Co8+zvnsJc0RJ/QrirR7vis4kAo8F2On1PXoWUKnP00nPYP9Ll7QTaFseLFvM9l1q8v6O4YLXmcOwB/zTl2p/XvleMxku7FVivgY/T1O1RtPtimdCbrCw6BR+PUQzDQBf+9Ft56GBDIiTthxpW/UIs3o0WU4HQ0TtvHWYgouXUGxsR9INqKftJ1qlTSFpw5wSE19j6nNHRI2O0D8L4rFQXdfv+nUpH2+yTs/VHFdG+acO/XlNDY8yN0LToTrPax+o5HoQGPbXmWramtLBtUWhcP/wD+8yPHNGw/8cNoQmNqMqoYf3peRyy+jr2f+aOTIqRFI5ibVylmoX1OhA/fCHt9TM1Vup/7/noaL298nv7soJqPf35LCfsNL8J934B7vqw4Tfu3wJPXKUHpRet0lRu77ln0VmsOe3owtvYEi6iveBR+fSj851L/8Rl7IqWAtU9BNu0phWxSY/j1YbDuGdi6qmAuoqPtbXoZ/nk+AhOMbEFTXQiBFouRfvqfyM5VRLsegSsXukG9clizGC25GfnyXY6w9Tazc7DoVDjIymd9+FJVpoufNERva1UBzVfuUMUbOX2XAKevlNAErHhMuRTmHox29LfRwpLs8/f6hH5q+XJWnvRx+h54UH0uh4+zXii1q8JAX84x++8twzOc0YNYawtZwOztLZjaYieUm4ODqrwwHCKzaaNqjWFkAYHQNdZ0vkb3I9/npWlvY6/UNjruPRfzwJMBFcQRkShm2qNx2lF1W7vJZtl02WVE5i9g4sdPwnjnhfCP89FXPwi7zgVhmfZeH6dlApq9vSVJFgJjh7erF8AJ1/rf2/y6qmZ65jfK5/WJP5E56Cz41dNkUwkyU3Ym+iYsDLWQ1qO0HvwF2HcB3Pph+M+lxA+6nuzRh6PPaUef2E52yZNK49z3PRC7C56+QbkFDvwCgjTmljWQ1RBNrUpwZxKWlhXm81sHeDk0nVg0A8/8TmUKTN4JDv+mEmoLjlD8AK/9De7/NvRvhvQAHHGeYuPv3wxffh4izegvKU3H2LoVY+vWYIGhntXq32lu8AnTQEyYAdF2YAu8+QDmQL9y0+i6GgvAwV+GYy+hxeoo6YUIh1Ww8e4vwoQsJD6ENEAmBkAaeQ920dREcvmbICWR3faFN/6t+kvZv2EpxNpVl9f1r8KjP4HDv6HaJ3vX0ZY31Dwe90PlBnj5z+remyb6aepaW+HIC9V7d39ZfWano3xfpzXFVePqjS/BzZfDzsfCKX+GXY5Db2vBYILKK7ZS5DLW/PTcroJ/3myXeqYjlbM9ZgkhFtgv3BbBvuPWe+MKYZtbsLe3sKluaXqGxTsZnTcPMlmyW3uRx14GsXbQdf6w5kE+OXM6PzPWMWCmMTJJzJR68uotLarkMJ1R7Q48LEbe4FD/o48x+JTqvW68cC8MdqMvvgwGNruRVi/NWpMdVR8I1O2xLLYshevfBb88RGlum15Tx9c8DTccqTQ7Law2EopQ1miO0p3s5qebFB/2TCPLhEgbM3vXqw300ZthzxOJN69nuryGH/7rizyfeYvuVx7A7FqDmLWbIiCJtMKT18Kq/6JNnIapT4D4ZERTC9x1Nlw6C7Huv0pI7Hg0O85/D9FML9z7VbWpP3ozRFsVy/3BX4L4JNjl3XDU9yDdrwTzdW9Xbocbj1KM+BtfRr/vdEj1YXRuxtjahS63OVqVgwHL/F71pPp7v0/C93pUBsIb/1THXr8Hnr7BVZqW/lNpcLZ/8+U71L97fQReu4vm/lWqiuu+byjfspFBvHgLDFp+3cPPQ0yaq3zrD1wKA1sQ3X7uSi0SxuhLgh4icuwXVPnvczfDT3aF2z5R3OdrmjB1N7QZuyINAUvugc1LMLd2ojfHVUNBKeGer8KVuyuBeNjXlXk9Yx/Ipnx+TT25ETa9CrufoLIwlj+U95WanoXBTsSqxyDUBG8/Q70hBPouB2G07qo0Vcv9ke1UpbWZAi2L60lkXE5w3gEs87zsX+hvOceXDdP4Rgx9lv/I6OstXDVhC04r4hrdeWcAMuvWIvUmVR+uaew34+2c1NvH98xW2rUoQoJpuKWRjo8zlfT7qiyBaPb3Yfb3OwvGeE0tPj1iQrhIHqe3VUItfJyhqFVd9DI8db2qigJVddShuEQ56IsOZ2hnZyeipYWoHmWPGYuUOT1xHkiD7JNX8fP7v0h656N586hv86XEUrbN3Ied2ubS0yyIhnZAipgqAZy6G3z6LjjuUpi5nzJJw3HQQsoKiE+GKbsiXvw9JHuQ+56GREc0tanN+sk71Rht3P8d+ME0lbd66NfgPT9W5mYmoTSe9rmw47ugaRJ6dhOkBzDu/AbGW8+j976mUrG85uY/vqn8v49fqYTOI1eov296nxJ8Rhb6NyPMNISa4dS/w/uvVu6flhbYvESZ6LMPgG1r4fZPIZ+/VWnKT10PT1wNm19HpLcqfteDz1KCqnsZ9KxHDvSCBLH4aiXQHvw+3PR+NJFUfvC2FvTJU+Co7yrNO5uAmfsp//mWN/L9nq/9//bOPEyK6ur/n1PVy+z7DMywDYuoiAFBwqIBV/B1A3GJG2rUuGHiEo0xvq/BRGN+idurWYxEX/c1xohgFB0FUSOICKK4ssrOzMAszNrd9/fHre6u7qnu6YGZYYj1fZ5+eqbq1q3q09Wnzj3L9/wT/nIEIgFUWjFsWUHoxStRNdsw3rsDFvxOH3PQSTBoEuT1B286IJrX9f9OxFD10FyLYTQjb9+mXRdighiwOq412YbFGFuWaDkVD9UK+IDjorduYQHBLevggVHw/v0ABKqr9PWHq+RsirOyspLuQjJz5EfddhU9EIW9e1ODDrB4bKQVYYTb0kYU59Ch8Oq/CHzxIbx+GzT1AtNkyuCTmFJzMSq7lW8ACYlu1Caie7z4fFYeZ1MMy03Yom3duo1dzbtoXLuCAUCwzySMFXOtksto50unpTo4l/V1GNmlsf/nWa2Nvelw/ouaEPnQMyO7y8rKqMkvxvBt4dSDz4G+fWDXI8AKXj9wArPValjxIAEVYMHmd3nlyJuYMex81i/7Na1vLQKPLTm6z2j9Aoy096Ofy+uF42bBiLORjyeB6UN5rdLBnCKdNhUPMSDUCncPhfNe1D/SKXfAxBu1L67v4Zr5PrcPxjWLYe4JBGorCbVmYg4drxXAMz+E/IE6hetTTVPHmoX6ofL27dr/e8h0WPk8vPUbTZYysRn18hwoPxJWvUxo5TyMwoMtvzdadgMmAELuzpVwzl/0A6n/OPBnI8f8AtY8goy7AprrkI2LUS1FhI64ARb/FmPzB9pV8u69MPI8xFgPhoGv3Co5HXOpfimlFXDdVnj4eJ0HfMKd2h9fv137fbd/hvhPIGSUAt8Q8peAtwojPaCV+egLYcLVMN6W72t69ZwNlZjBndDagOGtg6++0N0Jhp6gv8ONH+px6QUQbIY+ozHye0N9AIadCnn97N8WnvwCGuubYkqAg+u/xPS1klbkYffXO2PaY5eVlSW7izsVyXoOPdZtV9EDUWv5HIN1dXj793McI6YnslT3DRoEhkHr9p0YhUPBtC2Ts0o0rZtqRSkItorO4TQMnQDf3KxZ2e2WrXXszvVf0RJqxWyEYGMjQSMfMzsT2KHJiyNR9Vh+SjweHUQx21tUpACPT0dmGyq18gknwwNkFsGo2JzJyspK0sJ9ygVNErJyLojBiFEXcWn2ei499FIMMRheOJzjMwfC8xeQ9cmbVNf1Bl+WY4OxmCCI16uVwHMz9EPEk6ZbRdg6hbbB0CkRyyXGD5mepxWC/VzZvfCUDaKl70TY9jGeQ46Gmm/10rNlNxz4X/oBcsAUnf/67RJ9YJ/RcNDJ8NXr2mL86FHEf0U0Af7bJYTqajD7Z8Lhl+hl+eEXa+VTOBhz+0q9pD3g+Oi1ZOVpK9njhYwCpHw8rFhFYNt2jLxixNwIHz8FP64ATxpGxQPAGnzDRsUJULTyD7ZoV1J2L21tz71WP/yaa6H/eIzKElSLRUbTIpCWhzFsLNQ9r90a4YeOfd6pfwZ/Fsa2akj/M2ZpHvQdBCN+qN1Og4/RinPNAh2RN0w49wXkkCmwpcLxPjXz8wnVN6Iu/wDJLYGv5hP48AU8AYPcvHp2B/Ix188DTgf0fZezpyljHUQnmCP/mQioICZAINA2h82CeKIWp5mbh6dXL1rrAvjHXgVL/4wYBq+sfoWdx99ImieNAY/9muYB4ykOmpHIt/h8hFpaNK+inSjXsiQbN+sodKY3k2BVNaFvPsTEYlf3pEVbM9iJfUV0vXptbedE1UFbnQ2VkFnSbj+ixuZGVjV+xaBQq7aIV7+tLbKW3pR/+DDXnPsbveQGJpdPhspvYNXLeNLSI8tHJ2IKO5mFeL1aiVd9jRg+rThbWttyddrRbywUDNbL95xS5zE2mHl5NG/4NvI3+QNg5hJo2gW5feEny6KyeOUa/d53jFakP1mql84rnobAdt0eAmDKHYRmr8JbbHUAmPTz6An7j9OtUZb8TSsaC57CQvB6og+TshGo9Q20rF2L74CDkaNP0Iq8VHcoNfKKIbMI3+Chzh8srz9c8S6k5Wg/7SfPaf/isbfC+KsxvvwVgd27off3CHoKgM2YI6fBIqsaq2xk2zmzirWcsrPA9GP2PwQutRUUHjJd30MDJ+mcYG8aBJujJMsOhDFmgZUS1mrgaWmA+bcQkEK8Q4aQeestDFj5Lt4fnB8Z3xLXu6or4SpOJyyZTfnCW/g2UK6VUwJKLfGYEYvTyMrEW1pK69ov8cm3EAqAafL050/zadWnXFkygd4EUWkFFDS1RpbTmo8ybHHafZz6q8msasSflo9gEKzcQXB3Ex5fCE57iDC7OqbRRlmEFackYDDqMA6ZqpVfn1HtDt2Wto1lu7+gNGAlOJ9wJ1I3F755HGPT+23TUop0WxAzLaSVCc711W3yFUW01fLJZ/DpS6jWFquRWwLFaXrh6qUpfmBLcX6t3feRdCR/ln6F5wN4/sJodLzsMP2eVQLT/gSn3o/832MQ/AillO5n1Rx07l1/zK205gzAO+GqmM1ZRx1F+bBhkWM0A3wrzWvXkDVxEhx1Y8z4cEqbr7w88YdLsyyztDy48t86FSujwPrcufpzX/omocVLgFswepXDj17Tq5zMooTThqPvbYoFSg6KVqad+X+QXaaLCsIGhIPFGa7UClRX4ykqgqs/JDh/KmlDx0DpCHylI7SLofJrKDqgx+RxfneRXYohAa38IMb3GAOPN0LdZmZl4S0ro2XDelg1T0dDTZNrRl/DnT+4k4tKxlMKDK76luCumggBgpGma9XDzcAiCAd1WlowRSvRhu1bCDaGdGBo7cLIUBFnxQnRtKm9xsQbYVYNnPNMu0NLGkuYcsh0Mjyan5HiA3VkNxTQkeE8B9fH6Q/jGTE5kv/paHH64yxOgKGTkYMmA5oZSQWSWJwQE1hoD/bczaR5nGEfXEZRVCFFzmdGuSataHZwd70zY1F2L1aXnhpVzBbENPGW2ixkwyBYW0eophb/4LYJLWEWeN/A8sTXHIbpgV7DIkoT9AMjWFODMn2EmvRnM7MyYcD4iFWbCGKamPn5eAoTK1dy+0aDO+EHpDgs1S3CjjC9n2ptJbhzZ3Tuyq91Y8HXda/I7szjdBWnE3oPRzxKt8nFmYwBogEcTBNJT8c/dCih+kZadptWArzJuNJxnDzoZDJGX4SR3w/KJxKo3IGnuCQydzgBPnzDAzE/7qpcg6qmKtas/ohgQwumPwTLn4qO9Zix3RCxKZ7OKLkEeO9+mJULSx9JOGRX0y4eXPEgvkwfBw4YhcewOEI//Qe8+T/6YeL1R9oZx+DQM/CcFSXYcurMGGNxxvt0IdION5UOl6nAnruZNI9z+mydhnTDV467I1Z/MKhLeFsDGJnOOYep+Ojste++OM5RAP+BQ0kbPnyPSUmM3NwIuXbQ6lbZkXzgPvfcTf7556V2rjAnp6OPM6w4qwF06SvgKbJoCwuHaA7ZAeOB1GTXWXCX6k7IGwBpGVGL0+f8Q7QzrosI6cMPARWiqcqnSy7jLRuPl6D4CezYgae4yJrbqg2uq0NsFoJYte61DdUsT29hhN9H2vZaVCCE4YvNwys47zzSR46M2RZdAnXSUt1nWUhJSvee+PwJHvrkIRoOaOCnx/wIVAizsBB2l0ZIHCS/LOpiiIOZl6ct7WAwwg5uR5vgUNzfqtXyFadAupsKIlamx5NccYQtREkg6zDvQNDGoZmAI9OTik/aRtzipDhzTzqJ3JNOan+eBDBzNY9msKYmwvzVXt25Hf4hQ1IeG6mUc3ApeSwav0C1VpzBKp2SZxZailMEzouyYKUku06CqzidIEJzwWAIbQUVSsgHGL6BDatawjdwIOI1qGzy4vFra/UnFT+hX04/Jg+YzLbataivFjK4NRBh5Albs8Ha2liLE630FIqaHA+l5sF4ttTRJCbmiJNh6vTIuIIL2pJTRXyoqbAjpYLDL9aO/XB/dwfMOHgGhhiM84zDk59P3hln6B15/SLkN+FltRPENDEL8gnuqHRs92DEB4fCf4f7EbW0Eti+nfRR7fthU0HYYjPz8lLqapkIYaWggqFouWUCRVxdXd1um9vwfGZ+/h4zNiWDmZsHhBVnne43lCKtXEcRCQ45yFcyMhC/P0LrF6jSCtQTVpxxSEV2nQV3qZ4AMul63X/H1tc6jJrmGlbsWBEJQpgRJeWBsiyaRagJNvBl9Zcs2LiA5duXk+PPweP1kb1L+4w8xXq5Gma2UU1NMVFj0Iok15fLZUf/HG9xMc1r1uiKiiMu0lHUJIiSJ3TSs1FEB3EcbvCF3y7kDx/+gbqWOmaOnMnQAXHR3OxSfHkKf4kf48RfJz1NWC5OwSGJDw7F/R1qbCSwY0cs29FeIExcbOYlZzJvf6KwjzNoI/hwtjj79OnjuN2O8MPQN6hrCvbCD4zgrhpC9fWYWdl79eBIhmTBIRHBzM8nWG0pzkpd6e0pcvafpiK7zoKrOBNgS9ZwJDMHkBjOP4Bz5p3D+a+eTzN6KW/3V+Uefy7pnnSCBny580vePutt7jv6PgblDmJQwQH03q0VWURB2FmN4izOSHVSYS5b/E0079ZpSGGLIBnCqSudtlS30NDaQCAUy/7z8uqXeXzV4+xs1jf4tm1xLQ8Mk8ziRvpP2IBsXZ50fk9hkU6vcgjIGU7BIaKulNaNG0EpvO30ukkVYTnvrVUXtTiDEYvTTLBUbyM7J1jzpRT82QOEHxTBml3RKqcuQmRlkSD7wyzIj1icwapqbTgk8N2mJLtOgqs4E8CsWY/s3ghNNW0sznMOOod0TzpGuI+57cZKL/aQIR6KM3sxrnQcRelFlGRYywfTIFSjlV/E4rT3xE6PUxYek6AKUp2pmFfzPo0BTfWVigUU8aF11lLdwn3L7mP0k6NZvn05t7x7C49/9ji/Gv8r7p50N8OLdHljyKkWut84/V69Jun83tLShEvj9izOlg2aZMPTu/0czVTgiViceXs3UdiaCtoszgSK01F2cQhbnP6usjjDPs5duzThSnYXKs70xMEhAE9ePoFwcKiqCjM/P2E1XCqy6yy4ijMBeg0ZiSFWe9049pkZw2aw5Lwl+P3aqrMrTu+GRzAbd5GZlh1VmBYaQ820Wvmd4cCDPUfUHvwAaFEBqpqqeWrHvxh10NGRxmWp/JAjTvdEOY17iKL0IobmD6WqsYo31r9BxYYKcnw5TC6fjGGllPTt27ftgWc/pfu0Dz466fwFF15An3vvddyXMDhkPdhaNuh0FG9Z5yjOqI9zLy3OMGFLyObjTKA4HWXX5sLCFmfXKE4jMxNM0/Jx1mMmyADoDESDQ86qyCwoiHYbrarCU5i4p1BKsuskuIozATZs2YGUHw5puZHl9Lw189hYt1HXBN8/KpJ6ZvdXXVaayddFPpRpsKpqFROensDdS3WPoa9qV1PbUounsDBKQGxTyvEWp3g8+E0/hx74A44+bDp+0wem2W7XQrD5jlLMWUwVl33vMl445QWOHXAsc6bN4ddH/LqNdbjBsvxikFkE5UfoxPAkMHNy8A9qGykGYujTnCzOwJatYJoJfWAdhWRkkD1lCpkTxu/dPDaLMxhPYhwHR9nFwZOfj5GRkTzBfS8ghoGZk0OopoZgXV2HIuodRSRtLqHi1C1MVChEoLISM8l3m4rsOgtuVD0B8vLyaDZCmu8xoG/22Z/MZlvDNt75ahVzszIxty/jIEzqvUFWb/4348vGk5Y/kLWD6/Bs2c5f3r2FHH8OfiupuyirhLTamsgyHWJ9nPF+vTRfBr5eAzh8+Lk0rtD8kGZubkqO+khUPS4BvqqxiqZgE6WZpRELcU/RO9PZl9hVfV/E6wWvR/eaiSsxDW/39CrpHGITa97e/33L3k9kj6qH03sS9ABPRXZamU/QSeldBDM3N2pxduFS3czLw8zPx1vmHNjx5OfrB05NDYHq6ggLmRO6q98QuBZnUhgt1drHWbMGpRSnDz2dM4dMxwssT/OzObCLQCjAv7e/x2VvXMYn21fw16p6rjjlaO6aqgMpr53+Glcfppmy++eWk+nJiGkOJg49sSPweCJKds7Od6htqcNop+VqZK4ECfBzVs/hhBdPYO6auUmPX7xlMT9b8DNqW2qZu2Yu7216j0AoQMX6Cr7Z+U1K19AVCJeltqmUslwe3k7yb3Yq7FH13bs1K9ZeKHcxzb33u7aDcF/5YH1d1waH/H4GzXmZrCOPcL6OcPVQdTXB6upo8vs+hqs4E2DXrl1Ilv7SZPcmRIQZw2ZwfR/NYH1x74kcPfA4PIaXQVuWUBQIEqheA1/MxdyymGfOncu86fNiJ7Wc+valpCSxOGu9ATbnBKltqaWifhlNwSZUTmo3caIE+NKsUvpk9WHhtwtZX5u4RO3Fr19k/vr5PLLyEW5edDPPfvEsOxp2cO2Ca/nfZf+b8DjQsusqRGQU3zzPiqx3VipSZyL8HYQ7oiZztXSl7DoCIzeXwPYdusopq+uW6u0h7F+umz8fQiHMgsSKsztl5y7VE6B///7syrWqe+ps7QzKDoNrPmHAukVseX8R9cBwglR8u4l1G5fxmc/HEH8WhemF7Gzayc6mnZRklJDly6Ix1ExjYDf1/gbCi3Wn1q5hvDC1gIqt7/BM005+NuEXhApn4suPdY7vatpFli8LjxH7VUYqb+Ki6ieUn0BVYxW/W/I7RhSP4IJDYpPn31j/BvUt9fx8zM85bchpHFZyGNm+bIYVDsNn+rhqxFX0y3Gm2bPLrqtg+P2EvN627grLAvV0UipSZyLy8FIhQg27E6YiQdfKriMwc3NptdJ7EuWcdge8ffuAx8POpzVHgjcJ52Z3ys5VnAmwceNG6o0WMkWgbh23/fs2StJLuKLsGMSfBS/PpHLLIFpbhczjrif7s9/w5NZFvNCnN495TUahl8V3Lb2L3xzxG6YNmUajamF3awNr2YzFoRNbcx1XofRf3z+fQTvHUJJRQronneoLL47pMd0abGXmWzPxGT4eOOYBsny2fi+RPM62X/Ex/Y4hy5vFhLIJbfY9uepJlm1fxnvnvMf4Mh0UueTQSyL7rxx5ZUqyGzo0AaXZXkLS0hxr0Q2vjyDgLe0+MtuUYUQtzmB98rzIrpRdR2Dm5oHFIWp2YXCoPXhLShj0z5cI7NhBqLmZtIMPTji2O2XnKs4EqG6t5t3t7zLeNPh1juKTr/7OQQUHceUHT+meO+Ou4uP1bzE4UMuab16iDBhQV0WuP8iQtGJmfzKb+z++n2xvNgNytLLLzSjA48th4sipkfPYk7rjLc4JfSYwoU9UuRWcey5KKV746gXOHHomDYEGMjwZ+E0/Gd7YYENkqW6zOLc3bOfVNa8ypnQMU4dMxQlXjrySdTXryPHtOWGC0cmR/Ji5/X5H7oCwMu2s5PfOhMT5OM3sxLLtStl1BOFcTiAhIUl3wczNjbmeROhO2fWMb6kHoqS4hIN6j8BreNjpN7lqxFXMmjBL12sPnw4n3Mn3Bx5DtngZU/U5AKdUbuFh7yBySg+jd2ZvhhUO4/eTfs9hJdq+9Hn9+E0/pf2jT82YfuhJmk3NXzefaf+cxgMfP8ATq55g2+5t5PpzefC4Bzm2/7FcXXE1X++Mtn4y7GWgFlZWruTuj+6mYn1FZJuKI+0YVzqOsw86O2bbOxvf4dq3r+V3S37H/cvuZ9vu5BUavXq1bTXSWZC0tDZMUGDzcZb2wOBQXFQ9mcXZlbLrCGIUZzd2j9wbdKfsXMWZAC3VLYwtP5I8Xy4PHXYNV5YdxSGFh+geNaf/DT56lII1b5MeCmB6tPIpyCzhwPNfgXFXcMrgU3ju5Oc4ss+R0UmtZXMqwaE1u9Yws2ImFRu0kmsNtbK+bj3vb36frbu3snir7nppGiY1zTUs2rSIVVWrUErx7BfPsrphAyU33UT25CipxvDC4dx+xO0cP+B4Pq38lOlzpvPgigfblcXW3Vup2FDBU58/xeyVsyMVTImwadOmdufcUxhpfselunh94PVEmXN6ECJWv2VxJgsOdaXsOoIYSr0uTEfqTHSn7NylegIUFBRgpKUhoQC9XrsBmi7XCdzfVMDYy6F2iw4aBTMwfMBN63S71Hfu0v1iykbywZYP2FS3ieMGHEeuPxcxDOoyDU6bdyZ3/uBODi48WAcOrBxEu8W5bPsy3tn4DmN7jwV0UOfEgSciIuxs2kmaJzr21CGnMrl8MqWZpSzeupg7Ft9BSXoJFWdVxHymXpm9Ikv0qsYq1tWsY3vj9sj+dza+w7NfPMuMYTMi/k2A4wccz7jScbSGWtlUv4myrOR+xIKCxNUdewuzqAiPVbZqh/i8eHv17vSE/06BdU2RqHqSYEtXyq4jsJf17i8WZ3fKzlWcDlhbs5Z7lt3DRU0l5BgejMMvhEFHweIHdWfCEWdDwUAMr+bGNAoHaGLZd+6Cz+dAVgnB3ocy6/1ZbKrfxKheo8j15+IfOpSapvWsr/uCzbs3c3ChXrIbPj8hFZubePoBpzO61+iIr9G0kSDkp8WWABakRW+Y4YXDuWrkVYwvTV7tUpheyNtnvU2uP/oDWVW1ikWbFjFtyLSYsflp+ZFzDs5LTCsXRiAQaHfMnqJ45kyUw/wZ48ejmpq77Lx7g0g6UkszqqUlaVS9K2XXEcQs1fdhcKgj6E7ZdfvjWUT6icjfRaRGRGpF5B8iklIegYikicgfRGSLiDSKyL9FZGJnX+MHWz5gwbYFrC/zkj5mDMZpd8Gmj7TS7DMa+hwO+QPJG9xA3yOrdf31J89ppXnAFN1zGthUr5cOxek6+ajwkosZe9fDLDlvCcf21/mgDa0NhLxmG85PEWFg7kAK0/XSUynFS1+/xLJtyxJed0NrA5neTK4ccSUjS0bG7GsNtXL+q+fzp+V/imyzK03Q5ZTzT5/PEX2ck5HjWZESoba2rUXYWTAyMjAdmL4Lzj2Xwot7aEdr66EXtCzlZBZcV8quIwgrTvH5EjYr7GnoTtl1q8UpIhnAW0AzcCGggNuBt0Xke0qp3e1M8TBwEnAjsAaYCbwuIuOVUss76zrPHHomB2QdwICCARSfVgyv3qh7Shte+OFT2ldZMBDTqzCHHgkn3wsbP4KxV+rAUX45JvCj4T+iKK0oJk0ow5vBzqadPPbZY4wtHct1C67jnqCX3unRMsyG1gYUikxv1DJpCjZx6/u3ArB8xvIYCxTgl4t+yStrXqHizApKMkqob6lne8N2BuVpIoia5ho21G5oUya5qX4TFesrOH/Y+RhiUJrlHFw565Wz+Lz6cy4ZfgnXjr42qfy6s2nW/gBPcRGYJtWP617vyXycPUV2kp6OeL37jbUJ3Su77rY4fwwMAqYppf6plHoZOBUYAFye7EARGQGcC1ynlJqtlKoAzgI2AMnZcTsIj+Ehqz6L4gxLmeWUgT8XLn4t2lY2s1hv2/ABVK2GvqN1h8a/XwxbdF359aOvb5NgDrBw40Ie+fQRlm9fTkFagX6q2yzOig0VTHhmAs9/GW0LkO5J5/YjbufhyQ+3UZoQrRs/9oVjeW/Te0x8biI3Lbopsr8ovYg50+Zw4bDY/uH3LL2HPyz9Ax9t+yhp0Kc1pBntV9esTiY6oHubZu0P8PbuTe9Zv6J182YgeXpPT5GdiGDk5e7T5PeOojtl190+zlOBD5RSkWJnpdRaEXkPmArck/BIfWwr8Jzt2ICIPAv8QkT8SqlOc3L57MuTI6+D8VfH9hMX0b7OJX+F2k1QMAjes0oRjeRUbsu3L2dM7zFccuglXD7icjbOvRQViqYFmWIyJG8IA3NjWYIS5V4C/HTUT2kONvP0F08zMHcgxw84nsL0QkIqFCHzyEvLIy8tL+a4sw86m5ElIylMK+T7T32fKeVTuGvSXW3mf2nqS4RUiOZg+yL27SdLu+5E9lFHIV4vlfc/kJSAuCfJzszNjWlZ3dPRnbLrbsV5CPCyw/bPgDNTOHatUqrB4VgfMMT6u1NQFE9fZToow3FX6A57vb8X21LCn3x5M2vCrJj/xednR8N2bpp7NjccfgMnDjqREwed2OFrvnHMjcwcOZMMbwb/b+L/A+AfX/+DV9e+ys3fv9kxsDOm9xjG9B7D+tr1DC8cTmlm4jxIQwzSPW1bWsSjjexcAJB1xBFkHeHsPw6jJ8ku+7jjHCvPeiq6U3bdLZUCYKfD9mqgPbbYZMeG93cajrr3fceueccN68VvTzsUgMe/NPjjW9nAUgBeJ4d8apn0x+U8eEkuB5fqIMbx9yykprG1zVxjygv403mjyBg3lk++fIfPqj7ksmfewNOwK2bcfWePZMJgfVOc9eC/WVfV1hU8pCSLp388jgxvBu98tYMbXtDugkDWMlpzP+TMR5/As/tIbjv1EP7rUK0cf/z4UlZ8az/XJaxeARXvLeLVa34AwMqNNVzy2IeOMrr2uKGcO1bH9X7+9xUs+FL3hAkEAhHZeQzh/Zt1IOzb6gZO/8v7jnNddEQ5Vx2luyP+9tXP+efHzjl5FT+bRHaal7qmVo69e6HjmGmH9eGXJ+qMhT8v+IZH31vnOO7FKyfQr0BXWE24s4JASLUZc9SBxfz+DN1L/OnFG7jvTecWwA9fOIZD++qAyon/u4jK+raW+Yh+ecy+4HAA/rVyC7+a0/Y5HwgEuO+c0Uwcqt1E587+gG+217cZV16YyfNX6MyJ91dXcu2zyx2v679PHsapI3T62MynlvHhuuo2Y3LTvbxxvQ5ofr6llgsfWWLtsRLK73gTgKuPGcIF48sB+OVLK3lzlXMhxJJbjgNgS00jU//4nuOYGeMG8JNjNUXcH17/gheWbnQcN/+6ieRl+GhqDTLx928nPd/mzZu7rUWwxFeOdOnJRFqAu5VSN8dtvwO4SSmVUJGLyBtAllJqfNz244H5wESl1CKH4y4DLrP+PRD4MsXLLQIqUxzrIhau7PYcruz2HKnKboBSqrj9YYnR3RbnTpwtw3ycrUk7qgGntKV82/42UEo9BDyU6gWGISJLlVKHd/Q4F67s9gau7PYc3Sm77o6qf4b2VcZjGLAqhWMHWilN8ce2APuOXdeFCxffKXS34pwDjBORSJcpESkHjrD2tXesF1sQSUQ8wA+B+Z0ZUXfhwoWLZOhuxTkbWAe8LCJTReRUdJT9W+Cv4UEiMkBEAiJya3ibleD+HHCfiFwqIscCzwIDgV91wbV2eHnvIgJXdnsOV3Z7jm6TXbcGhwCs8sp7geMBASqAa5VS62xjyoG1wG1KqVm27enAHehE+DxgBTqotKBbLt6FCxcu2AeK04ULFy72d/RADq59h70hIPlPgIj0FZEHLPKUBhFRlvUfPy5fRP4mIpUisltE3hSRQx3GpUTKIiKGiNwsIutEpElEVojI6V30MTsdInKGiLwoIuutz/mliNwpItlx41y5xUFEpojIWyKyVUSaRWSjiDwvIsPixvUs2Sml3Je2ujOAr4FPgWnoEtCVwGogc19fXzfJ4ChgG/Aq8DqahKU8bowAi4CNwDnACcBCdP5c37ixTwG70BwFxwL/ABqBkXHj7kATv9wAHI32d4eAE/e1TFKU2wfA88B5wCTgWutzfwAYrtySyu4c4A/AGZbsZqAzaGrR+ZY9Unb7XHA95QVcAwSBIbZtA4EAcP2+vr5ukoFh+/vSBIpzqrX9aNu2XHQe7f22bSOscT+ybfOgCxDm2LaVWDfwbXHnqQA+2dcySVFuxQ7bLrA+/zGu3DoszwMtGfysp8rOXapH4UhAAoQJSP7joZQKpTDsVGCzUipS/6aUqgFeIVZOjqQs6EyIKSISpoOaguYaeDLuPE8Ch4rIQHo4lFI7HDaH61T7WO+u3FJHlfUerlPucbJzFWcUh6CX6fH4DJ1k70IjmZz6i0iWbdxalZyUJTyumbYFDOFC7v1V9pOs98+td1duSSAipoj4ROQA9LJ5K1rhQQ+Unas4o9gbApLvEtojW8lPcVyB7X2XstZKScbtNxCRPmiO2DeVUkutza7ckmMxWpl9BXwP7eIIN8TqcbJzFWcsnHKzxGHbdxlCanLq7HH7BSzr52W0b9zey8OVW3LMAMahc7RrgTdsGR09Tnau4oxibwhIvkuoJrGcICqr9sZV297zRST+pk1K3tITISJp6NLgQcAUpZSdK82VWxIopT5XSi1WSj2DjoZnAb+wdvc42bmKM4q9ISD5LiGZnDYopept4wZK+6QsnwF+IJ5lOexn2i9kLyJe4EXg++iUlpVxQ1y5pQil1C705wz7JHuc7FzFGcXeEJB8lzAH6CMi4eAHIpIDnEKsnFIlZXkNfVOfF3ee84FPrcyGHg0RMdD5g8cCU5VSHzgMc+WWIkSkF3AQOocaeqLs9nXOVk95AZnoJ9JKdIrDqeha+DVoAuV9fo3dJIczrNdf0H6gK63/J1n7DeB9NDHL2ejUjgXo5U2/uLmeRS+jLkUrlb8DTcCouHG/s7Zfj07C/ws6GfmUfS2PFGUWltXtaD+d/dXXlVtS2b0E/I/1mzsa3bTxC3QS+9CeKrt9Lrie9EITJb+Idk7XAf8kLgH8P/1lKQCn1wLbmALgEevGbUAnDo9wmCsd3YBvq3WTLgaOchhnAv8NrEdHVj8BztjXsuiAzNYlkdssV25JZXcT8JGlKBvQyep/jf/d9TTZuSQfLly4cNFBuD5OFy5cuOggXMXpwoULFx2EqzhduHDhooNwFacLFy5cdBCu4nThwoWLDsJVnC5cuHDRQbiKs4sgIhdZrSeUiAx12H+Ubf9xtu2Pisi6PTznOhF5tJ0x5bbzhl+VIrJQRKbs4XmPEpFZVgVNR48Ny2lI+6P3HCIyXkQWW20XlIiM3NPrsT6rsqpS9va6FlhzvZ9g/6PW/o0J9vcTkaCItIhIUQfO+2MReVVENlky+VREbhQRX4rHx99D9tcvbONmxe0LiG4x8rDFIrVfwlWcXY86NPNLPC6w9sXjN8Bpe3iu06zjU8GdwHjrdQm6BG2uiIzbg/MehW7R3JPvp4fRbOCnoD/zV/v2cmJQB4yPV9ZWzfV0nO+TMC5Ay92LbiuRKm5FJ4lfA5yMJv/9Dbp0NBWMd3iFiYFfcRh/pDXmaOC3wEnAvD152PYE7PUT00W7+AdwvojcqqxqA9Ftjk9HVyldZB+slFrdZoYUoZT6uAPD1yhbTbWIvIEuVTsN3SvnPwbWj/NA4A6l1Fv7+noc8AnQC10rPcu2fTqa6uw1tNJxwgVokt8c4ELggRTPOUrFMte/bbEF3SYig5RSa5IdrBzq8UXkSWCpUuozh0MWK83GDrBIRILAbPT38rnD+B6N/VLb72d4AhiAfuKGcRq65OvF+MHxS3Xb0vpyEfm16O59u0TkFRHpG3dsu0v1JGhCtx3w2uZLE5F7rWVcvehOhK+IyEG2MbPQ1iZAa3hJZtufKSK/E5HVorsYbhXdEbJX3PmLROQp0d1FN4vI/aJp2pJCRHJE5I/WMc2iO0xeZykBROQidC8pA/gf6/rW7ZGEOgARmWwthbeI7hj6qYj8TETMBIc8gVacdlyAfvDuTnCO8cBQ4HHr+NEi4sQi1AYqtXYfKUNEjkSzDT2W4iG11rs36ageCldxdj3WA+8Qu1y/AE1uUO94hDNuRtNsXYxeXo0n9WWVEwwR8VivMuBuII1YZe4HstHkFSehCT/SgA9EpLc15m/oZTBEl2PjASx/2RvAT4FH0UvCq3Fm1X8CzYYzHU24MNP6zAlhWZLz0ITBd6OX4a+ha5XvsIbNI/rQeti6tj11hXQEg9D11BejZfcY2pq8I8H4J4BBIjIBwPpOjkUrxUS4EE1M8ZRt3AV7cc2TrPn2xI1xIdrd80yC/aZ1r6WLyGjgl2h6N6eWGD0f+7rI/z/1hV6CK6LKbida6ZSi2cGPR/sGFXCc7bhHgXW2/8utMQvj5r/B2l5m27YOeLSd6wrPF/9qAi5u51gT3Ua5DrjOtn2WNYcnbvzF1vZTU5BTfMfBucBX7VzPydaxF8Vt/xuauKHI+t9DHOFGKt9bkjGOnzfJeLGu4RbrPrB3E10AvGv9/Q7woPX3z9FsQIZ1T2yMm9NvzfW6bdu/gU32+Ttwv34P3UZ39h4cm4Ym6fhHElnFvz4HBnf27667Xq7F2T14AX2jn4LmANyKtkY6gnlx/4eJcvsnOsBmUXocIsC3A2Os1xS0v+khETk7bo6zREejd6EV/m40O/eBKVzzZGCrUioVPlOnz5fws1mYiLaQ4q2cJ9HNuRL5BbscIlIqIn8VkfVoS6wVLfM8dHtaJzwOnCW6G+MM4EmVuPPoVGsuu0X6GFAG2LM0kt0DkWtFt/tYjaZZC2+XVI4HpqHb9T6aYD9oir0xwFjgLPR9NN/BZbNfwFWc3QClVJiibgZ6KfVUkh9EIsTT+YdJWR39gKJJmFvtL4n2cAFYr5Raar3mK6V+ArwO3GfzD56CjrZ+ju4FMxZ98+9IdN44FKItoFTg9Pn8TgNtKACqVZSgNoyttv3dDsuFMAdtEd8OHIOWW3iZnkh2z1v7bgWG0/4yvQEd1MkTkTz099dq7UvlHkBECtHuFEG3+7BH8CfFH5/gWi5A3xP/SnK9H1n32hKl1Ato98VAbIp6f4IbVe8+PI62qgw6ljayp9iM/rHGbytLcsxnwIloi2gbmjT2G6XUReEBoltEpKqQKtEKoKtQDRSIiE8p1WLbHva/Vjkc0x0YDBwOzFBKRXp3Ww+ihFBK1YrIHHSvnaVKKcdos2WlTUb/fp0eTKeJSDaJ74HwPDloZVsI/EApFT/XRw7Hx19Lb+ta/qiUSqRY20AptU1EKtEugv0OruLsPryBtih2Ked0jU6FpUiWxm+XNv2pYvA99LKyxvo/A708t2MG2tdpR9jiSyc253A+cLaInKKUcsrt21ssBG5Et0qwB8rOQ3+OfZVWFe55E1Ek1gMnvlWDE/6ItjqTBf7OR/92r0SzpdsxArgPOFMp9QgO94B1PRnoB/lANNFvfI/x8ErJ8fi4azFJPZoePn8pUIS2VPc7uIqzm6CUCtI9lmaqGCTRZPd8tP91CvBnpVSTtf01YJqI3IsO1oxGR8h3xc0Vbm71MxH5FxBUup/4k8CPgWdE5E40G3e2dZ77lFLxP/qO4l/Au8CDIlJM1GK+FLhTKVW5F3OfICJb47bVKKXesP0/XUTiXS5b0Gk964E7rHzFVuC6VE6qlHoX/ZmS4QJgLfBXZUVgwhCRRejA0oVoxvREeBHdT+saIFNiCx9WK+d0pUTXslK1n0M81pKFgU7PuxGdJvZgiufpUXAV53cXNxNN96lFBwZmAg/ZxswG+qGj45ejFcIp6FQqO+YCfwauQvvnBBClVKuITEbneV5mvVcB79EJ7WuVUiEROQldiXITesm5Du03u28vp3dKJP+MWNfDcw5j5imlThaRaWjr8XH0Z30E2ICW6R5DRA5DrwxujVeaoB/QVi7vzSIyUCVuPHaC9X6/w74fkTzQY7+WQ9EZHu0h/DBQaB/0R8AVSqklKRzb4+C2znDhwoWLDsKNqrtw4cJFB+EqThcuXLjoIFzF6cKFCxcdhKs4Xbhw4aKDcBWnCxcuXHQQruJ04cKFiw7CVZwuXLhw0UG4itOFCxcuOghXcbpw4cJFB/H/Aa02VS6VUkhDAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 324x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams.update({\"font.size\": 16,'lines.linewidth': 1.8})\n",
    "\n",
    "style=[ '--','-', '-.', ':', (0,(3, 1, 1, 1)), 'dashed',(0,(3, 1, 1, 1,1))]\n",
    "delta = 25\n",
    "mini_batch = 3000\n",
    "fig, ax = plt.subplots(figsize=(4.5,5))\n",
    "\n",
    "ax.plot([abs(llama_181[i]-llama_181[i])  for i in range(0,mini_batch//delta)],label=\"TP(8) PP(1)\",linestyle=style[0])\n",
    "ax.plot([abs(llama_241[i]-llama_181[i])  for i in range(0,mini_batch//delta)],label=\"TP(1) PP(8)\",linestyle=style[4])\n",
    "ax.plot([abs(llama_811[i]-llama_181[i])  for i in range(0,mini_batch//delta)],label=\"TP(4) PP(2)\",linestyle=style[3])\n",
    "ax.plot([abs(seed[i]-llama_181[i])   for i in range(0,mini_batch//delta)],label=\"TP(8) PP(1)\\n(seed)\",linewidth=1.5,c=\"#d62728\",alpha=0.9)\n",
    "\n",
    "ax.legend(fontsize=16,loc=\"upper right\",ncol=1,handlelength=1,labelspacing=0.4,frameon=False)\n",
    "ax.grid(linestyle = 'dashed', linewidth = 0.5)\n",
    "\n",
    "ax.set_ylim([0,0.4])\n",
    "ax.set_xticks([0,40,80,120],[\"0\",\"1000\",\"2000\",\"3000\"],)\n",
    "ax.set_yticks([0,0.1,0.2,0.3,0.4],)\n",
    "ax.set_xlabel('Mini-Batch of LLaMA-2-7B')\n",
    "ax.set_ylabel('Relative training loss difference')\n",
    "\n",
    "plt.tight_layout(pad=0.1, w_pad=0.1, h_pad=0.1)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
